A125656 Column 3 of triangle A125653; also equals the eigensequence of the matrix cube of A125653.

1, 1, 4, 13, 47, 195, 908, 4674, 26327, 160825, 1057575, 7440520, 55714863, 442052441, 3701932760, 32610988520, 301289654059, 2911657603468, 29363468538215, 308365818949091, 3365801354839753, 38117461277764685

Offset

0,3

Comments

Column k of triangle A125653 equals the eigensequence of matrix power A125653^k for k>=0.

Links

Table of n, a(n) for n=0..21.

Formula

a(n) = A125653(n+3,3) = Sum_{k=0..n-1} [A125653^3](n-1,k)*a(k) for n>0 with a(0)=1.

Crossrefs

Cf. A125653 (triangle); rows: A125654, A125655, A125657; A125658 (row sums); A125659 (central terms).

Sequence in context: A078468 A354339 A149443 * A279159 A351509 A149444

Adjacent sequences: A125653 A125654 A125655 * A125657 A125658 A125659

Keyword

nonn

Author

Paul D. Hanna, Nov 30 2006

Status

approved