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A125792 Column 2 of table A125790; also equals row sums of matrix power A078121^2. +0
9
1, 3, 9, 35, 201, 1827, 27337, 692003, 30251721, 2320518947, 316359580361, 77477180493603, 34394869942983369, 27893897106768940835, 41603705003444309596873, 114788185359199234852802339 (list; graph; listen)
OFFSET

0,2

COMMENT

Triangle A078121 shifts left one column under matrix square and is related to partitions into powers of 2.

FORMULA

Is this sequence the same as A002575 (coefficients of Bell's formula)?

PROGRAM

(PARI) {a(n)=local(p=2, q=2, A=Mat(1), B); for(m=1, n+1, B=matrix(m, m); for(i=1, m, for(j=1, i, if(j==i|j==1, B[i, j]=1, B[i, j]=(A^q)[i-1, j-1]); )); A=B); return(sum(c=0, n, (A^p)[n+1, c+1]))}

CROSSREFS

Cf. A125790, A078121; A002575; columns: A002577, A125793, A125794, A125795, A125796; diagonals: A125797, A125798.

Sequence in context: A129094 A059424 A002575 this_sequence A057390 A106435 A058540

Adjacent sequences: A125789 A125790 A125791 this_sequence A125793 A125794 A125795

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Dec 10 2006

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Last modified September 7 14:45 EDT 2008. Contains 143483 sequences.


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