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Search: id:A121427
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A121427 Main diagonal of rectangular table A121426. +0
7
1, 2, 15, 178, 2820, 55410, 1294776, 35003430, 1073540871, 36805249870, 1394346324624, 57831360118800, 2605921998840420, 126757491839620950, 6619466939158637640, 369368127676399990338, 21932876159270004129285 (list; graph; listen)
OFFSET

0,2

COMMENT

Also main diagonal of square array A136737.

FORMULA

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

PROGRAM

(PARI) {a(n)=local(H=Mat(1), B); for(m=1, n+2, 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+2, 2])}

CROSSREFS

Cf. A121426, A121412.

Cf. A136737; A121413, A121417, A121422; A136741.

Sequence in context: A153852 A117667 A036080 this_sequence A099709 A052857 A053492

Adjacent sequences: A121424 A121425 A121426 this_sequence A121428 A121429 A121430

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 December 8 08:31 EST 2009. Contains 170430 sequences.


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