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A125805 Antidiagonal sums of table A125800. +0
3
1, 2, 4, 10, 41, 361, 7741, 417212, 57581062, 20688363559, 19625079296963, 49742424992663959, 340292157995636104240, 6337196928437059669994069, 323627960380394115802942263514, 45610724032832026072070666274435391 (list; graph; listen)
OFFSET

0,2

COMMENT

Table A125800 is related to partitions into powers of 3; column k of A125800 equals row sums of matrix power A078122^k, where triangle A078122 shifts left one column under matrix cube.

PROGRAM

(PARI) {a(n)=local(q=3, 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^(c+1))[n-c+1, 1]))}

CROSSREFS

Cf. A125800, A078122; columns: A078125, A078124, A125801, A125802, A125803; A125804 (diagonal).

Sequence in context: A153757 A159860 A013549 this_sequence A028404 A113208 A000613

Adjacent sequences: A125802 A125803 A125804 this_sequence A125806 A125807 A125808

KEYWORD

nonn

AUTHOR

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

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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