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Search: id:A125804
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| 1, 2, 12, 238, 15200, 3013980, 1828979530, 3373190565626, 18837339867421686, 317817051628161116674, 16176220447967300610844988, 2481251352301850541661479580329, 1146112129196402690505198891390847384
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OFFSET
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0,2
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COMMENT
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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.
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PROGRAM
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(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^n)[n+1, c+1]))}
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CROSSREFS
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Cf. A125800, A078122; columns: A078125, A078124, A125801, A125802, A125803; A125805 (antidiagonal sums).
Adjacent sequences: A125801 A125802 A125803 this_sequence A125805 A125806 A125807
Sequence in context: A009359 A011807 A011840 this_sequence A087046 A119700 A141083
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Dec 10 2006
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