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Revision History for A371125

(Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Number of compositions of 6*n into parts 1 and 6.
(history; published version)
#29 by Michael De Vlieger at Sat Jun 22 14:12:09 EDT 2024
STATUS

proposed

approved

#28 by Seiichi Manyama at Sat Jun 22 11:51:09 EDT 2024
STATUS

editing

proposed

#27 by Seiichi Manyama at Sat Jun 22 11:51:06 EDT 2024
FORMULA

a(n) = Sum_{k=0..n} binomilabinomial(n+5*k,n-k).

STATUS

proposed

editing

#26 by Seiichi Manyama at Sat Jun 22 11:40:15 EDT 2024
STATUS

editing

proposed

#25 by Seiichi Manyama at Sat Jun 22 10:14:49 EDT 2024
CROSSREFS
#24 by Seiichi Manyama at Sat Jun 22 09:51:09 EDT 2024
FORMULA

a(n) = A005708(6*n).

a(n) = Sum_{k=0..n} binomila(n+5*k,n-k).

#23 by Seiichi Manyama at Sat Jun 22 09:50:06 EDT 2024
CROSSREFS

Cf. A005708.

#22 by Seiichi Manyama at Sat Jun 22 09:49:46 EDT 2024
NAME

a(n) = Sum_{k=0..n} binomila(n+5*k,n-k).

Number of compositions of 6*n into parts 1 and 6.

#21 by Seiichi Manyama at Sat Jun 22 09:27:23 EDT 2024
FORMULA

a(n) = 7*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6).

#20 by Seiichi Manyama at Sat Jun 22 09:26:59 EDT 2024
LINKS

<a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (7,-15,20,-15,6,-1).