Revision History for A171388
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| A171388
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Expansion of the first column of triangle T_(2,x), T_(x,y) defined in A039599; T_(2,0)= A126075, T_(2,1)= A038622, T_(2,2)= A039598, T_(2,3)= A124733, T_(2,4)= A124575.
(history;
published version)
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#9 by Peter Luschny at Fri Feb 03 04:53:29 EST 2023
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#8 by Joerg Arndt at Fri Feb 03 04:07:11 EST 2023
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#7 by Jon E. Schoenfield at Fri Feb 03 03:40:23 EST 2023
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#6 by Jon E. Schoenfield at Fri Feb 03 03:40:19 EST 2023
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| FORMULA
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Sum_{k, =0<=k<=..n} T(n,k)*x^k = A054341(n), A005773(n+1), A000108(n+1), A007317(n), A033543(n) for x= = 0, 1, 2, 3, 4 respectively.
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| EXAMPLE
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Triangle begins ::
1;
2,, 0;
5,, 0,, 0;
12,, 1,, 0,, 0;
30,, 4,, 1,, 0,, 0;
74,, 17,, 4,, 1,, 0,, 0;
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| STATUS
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proposed
editing
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#5 by Michel Marcus at Fri Feb 03 03:33:31 EST 2023
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#4 by Michel Marcus at Fri Feb 03 03:33:27 EST 2023
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| EXAMPLE
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Triangle begins : 1 ; 2,0 ; 5,0,0 ; 12,1,0,0 ; 30,4,1,0,0 ; 74,17,4,1,0,0 ; ...
Triangle begins :
1;
2,0;
5,0,0;
12,1,0,0;
30,4,1,0,0;
74,17,4,1,0,0;
...
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| CROSSREFS
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Cf. A000108, A171368, A171380.
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| KEYWORD
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nonn,tabl,more
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| STATUS
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approved
editing
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#3 by N. J. A. Sloane at Sun Sep 08 13:31:52 EDT 2013
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| AUTHOR
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_Philippe DELEHAMDeléham_, Dec 07 2009
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Discussion
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| Sun Sep 08
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| OEIS Server: https://oeis.org/edit/global/1938
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#2 by Russ Cox at Sat Mar 31 10:28:09 EDT 2012
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| AUTHOR
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_Philippe DELEHAM (kolotoko(AT)wanadoo.fr), _, Dec 07 2009
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Discussion
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| Sat Mar 31
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| OEIS Server: https://oeis.org/edit/global/535
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#1 by N. J. A. Sloane at Tue Jun 01 03:00:00 EDT 2010
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| NAME
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Expansion of the first column of triangle T_(2,x), T_(x,y) defined in A039599; T_(2,0)= A126075, T_(2,1)= A038622, T_(2,2)= A039598, T_(2,3)= A124733, T_(2,4)= A124575.
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| DATA
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1, 2, 0, 5, 0, 0, 12, 1, 0, 0, 30, 4, 1, 0, 0, 74, 17, 4, 1, 0, 0, 185, 56, 21, 4, 1, 0, 0, 460, 185, 74, 26, 4, 1, 0, 0
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| OFFSET
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0,2
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| FORMULA
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Sum_{k, 0<=k<=n} T(n,k)*x^k = A054341(n), A005773(n+1), A000108(n+1), A007317(n), A033543(n) for x= 0, 1, 2, 3, 4 respectively.
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| EXAMPLE
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Triangle begins : 1 ; 2,0 ; 5,0,0 ; 12,1,0,0 ; 30,4,1,0,0 ; 74,17,4,1,0,0 ; ...
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| CROSSREFS
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Cf. A000108, A171368, A171380
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| KEYWORD
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nonn,tabl
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| AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 07 2009
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| STATUS
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approved
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