A113363 Column 3 of triangle A113360, also equals column 1 of A113340^7.

1, 21, 399, 8127, 184436, 4695719, 133730310, 4234560596, 148077895854, 5680484146379, 237574859841676, 10771591113205720, 526750324271281348, 27655229128194306702, 1552379671658643163707, 92820542631741826797326

Offset

0,2

Comments

A113360 equals the matrix cube of triangle A113340, where column 3 of A113340^3 = column 1 of A113340^7.

Links

Table of n, a(n) for n=0..15.

Prog

(PARI) a(n)=local(A, B); A=matrix(1, 1); A[1, 1]=1; for(m=2, n+4, B=matrix(m, m); for(i=1, m, for(j=1, i, if(i<3 || j==i || j>m-1, B[i, j]=1, if(j==1, B[i, 1]=1, B[i, j]=(A^(2*j-1))[i-j+1, 1])); )); A=B); (A^3)[n+4, 4]

Crossrefs

Cf. A113340, A113350, A113360 (A113340^3), A113341 (column 0), A113361 (column 1), A113362 (column 2), A113364 (column 4).

Sequence in context: A212786 A015677 A285396 * A223459 A240655 A014903

Adjacent sequences: A113360 A113361 A113362 * A113364 A113365 A113366

Keyword

nonn

Author

Paul D. Hanna, Nov 08 2005

Status

approved