0,2

Transforms column k of triangle A113340 into column k+1 of A113340. Also transforms column k of triangle A113350 into column k+1 of A113350.

Matrix square A113340^2 starts:

1;

2,1;

5,6,1;

19,39,10,1;

113,327,105,14,1;

966,3556,1315,203,18,1;

10958,48659,19875,3367,333,22,1;

156700,812462,357860,64750,6867,495,26,1;

2727794,16136404,7547602,1435497,160005,12199,689,30,1; ...

(PARI) {T(n, k)=local(A, B); A=matrix(1, 1); A[1, 1]=1; for(m=2, n+1, 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^2)[n+1, k+1]}

Cf. A113340, A113346 (column 0), A113347 (column 1), A113348 (column 2), A113349 (column 3); A113350.

Sequence in context: A128567 A039810 A124575 this_sequence A078123 A062991 A118984

Adjacent sequences: A113342 A113343 A113344 this_sequence A113346 A113347 A113348

nonn,tabl

Paul D. Hanna (pauldhanna(AT)juno.com), Nov 08 2005