The On-Line Encyclopedia of Integer Sequences (OEIS)

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A125655

Column 2 of triangle A125653; also equals the eigensequence of the matrix square of A125653.
(history; published version)

#3 by Russ Cox at Fri Mar 30 18:37:01 EDT 2012

AUTHOR

_Paul D. Hanna (pauldhanna(AT)juno.com), _, Nov 30 2006

Discussion

Fri Mar 30

18:37

OEIS Server: https://oeis.org/edit/global/213

#2 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007

KEYWORD

nonn,new

nonn

AUTHOR

Paul D . Hanna (pauldhanna(AT)juno.com), Nov 30 2006

#1 by N. J. A. Sloane at Wed Dec 06 03:00:00 EST 2006

NAME

Column 2 of triangle A125653; also equals the eigensequence of the matrix square of A125653.

DATA

1, 1, 3, 8, 24, 84, 335, 1495, 7381, 39912, 234360, 1483864, 10070570, 72885794, 560059512, 4551397316, 38984638708, 350888140187, 3309798388178, 32639617094998, 335781293403494, 3596524434640951, 40035909421823293

OFFSET

0,3

COMMENTS

Column k of triangle A125653 equals the eigensequence of matrix power A125653^k for k>=0.

FORMULA

a(n) = A125653(n+2,2) = Sum_{k=0..n-1} [A125653^2](n-1,k)*a(k) for n>0 with a(0)=1.

CROSSREFS

Cf. A125653 (triangle); rows: A125654, A125656, A125657; A125658 (row sums); A125659 (central terms).

KEYWORD

nonn,new

AUTHOR

Paul D Hanna (pauldhanna(AT)juno.com), Nov 30 2006

STATUS

approved