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Revision History for A163147

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A163147

a(n) = 14*a(n-1) - 44*a(n-2) for n > 1; a(0) = 1, a(1) = 12.
(history; published version)

#7 by Charles R Greathouse IV at Thu Sep 08 08:45:46 EDT 2022

PROG

(MAGMAMagma) [ n le 2 select 11*n-10 else 14*Self(n-1)-44*Self(n-2): n in [1..19] ];

Discussion

Thu Sep 08

08:45

OEIS Server: https://oeis.org/edit/global/2944

#6 by Joerg Arndt at Mon Mar 23 03:46:38 EDT 2020

STATUS

reviewed

approved

#5 by Michel Marcus at Mon Mar 23 03:00:16 EDT 2020

STATUS

proposed

reviewed

#4 by Jinyuan Wang at Mon Mar 23 02:49:41 EDT 2020

STATUS

editing

proposed

#3 by Jinyuan Wang at Mon Mar 23 02:49:32 EDT 2020

NAME

a(n) = 14*a(n-1) - 44*a(n-2) for n > 1; a(0) = 1, a(1) = 12.

LINKS

<a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (14,-44).

PROG

(PARI) Vec((1-2*x)/(1-14*x+44*x^2) + O(x^30)) \\ Jinyuan Wang, Mar 23 2020

STATUS

approved

editing

#2 by Russ Cox at Fri Mar 30 17:28:02 EDT 2012

AUTHOR

_Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), _, Jul 21 2009

Discussion

Fri Mar 30

17:28

OEIS Server: https://oeis.org/edit/global/145

#1 by N. J. A. Sloane at Tue Jun 01 03:00:00 EDT 2010

NAME

a(n) = 14*a(n-1)-44*a(n-2) for n > 1; a(0) = 1, a(1) = 12.

DATA

1, 12, 124, 1208, 11456, 107232, 997184, 9242368, 85517056, 790574592, 7305293824, 67488831488, 623410712576, 5758241390592, 53185308114944, 491231692423168, 4537090136866816, 41905067449516032, 387038978271084544

OFFSET

0,2

COMMENTS

Binomial transform of A163146. Inverse binomial transform of A163148.

FORMULA

a(n) = ((1+sqrt(5))*(7+sqrt(5))^n+(1-sqrt(5))*(7-sqrt(5))^n)/2.

G.f.: (1-2*x)/(1-14*x+44*x^2).

PROG

(MAGMA) [ n le 2 select 11*n-10 else 14*Self(n-1)-44*Self(n-2): n in [1..19] ];

CROSSREFS

Cf. A163146, A163148.

KEYWORD

nonn

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jul 21 2009

STATUS

approved