A125803 Column 5 of table A125800; also equals row sums of matrix power A078122^5.

1, 6, 51, 861, 32856, 3013980, 690729981, 406279238154, 625750288074015, 2563196032703643450, 28270494794022487841733, 848050124165724284639262951, 69769378541879435090796205851249

Offset

0,2

Comments

Triangle A078122 shifts left one column under matrix cube and is related to partitions into powers of 3.

Links

Table of n, a(n) for n=0..12.

Prog

(PARI) a(n)=local(p=5, 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^p)[n+1, c+1]))

Crossrefs

Cf. A125800, A078122; other columns: A078125, A078124, A125801, A125802.

Sequence in context: A210810 A134276 A337591 * A197073 A271680 A165896

Adjacent sequences: A125800 A125801 A125802 * A125804 A125805 A125806

Keyword

nonn

Author

Paul D. Hanna, Dec 10 2006

Status

approved