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Search: id:A121425
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A121425 Main diagonal of rectangular table A121424. +0
7
1, 2, 12, 118, 1605, 27816, 585046, 14459138, 410368743, 13146830110, 469123986529, 18447791712945, 792514583941223, 36925394368325295, 1854525584914459755, 99872579714406393286, 5740977285851988017769 (list; graph; listen)
OFFSET

0,2

COMMENT

Also main diagonal of square array A136733.

FORMULA

a(n) = [A121412^(n+1)](n,0) for n>=0; i.e., (n+1)-th term of column 0 in matrix power A121412^(n+1).

PROGRAM

(PARI) {a(n)=local(H=Mat(1), B); for(m=1, n+1, B=matrix(m, m); for(i=1, m, for(j=1, i, if(j==i, B[i, j]=1, B[i, j]=(H^i)[i-1, j]); )); H=B); return((H^(n+1))[n+1, 1])}

CROSSREFS

Cf. A121424, A121412.

Cf. A136733; A101483, A121418, A121421.

Sequence in context: A012628 A012623 A009742 this_sequence A132692 A009546 A009748

Adjacent sequences: A121422 A121423 A121424 this_sequence A121426 A121427 A121428

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Aug 26 2006

EXTENSIONS

Edited by N. J. A. Sloane (njas(AT)research.att.com), Oct 30 2008 at the suggestion of R. J. Mathar

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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