A100578 Table read by rows: T(n,k) = if n<=k then n else Sum(T(n-i,k):1<=i<=k), 1<=k<=n, triangle read by rows.

1, 1, 2, 1, 3, 3, 1, 5, 6, 4, 1, 8, 11, 10, 5, 1, 13, 20, 19, 15, 6, 1, 21, 37, 36, 29, 21, 7, 1, 34, 68, 69, 56, 41, 28, 8, 1, 55, 125, 134, 109, 80, 55, 36, 9, 1, 89, 230, 258, 214, 157, 108, 71, 45, 10, 1, 144, 423, 497, 423, 310, 213, 140, 89, 55, 11, 1, 233, 778, 958, 831

Offset

1,3

Comments

T(n,1) = 1; T(n,n) = n;

T(n,2) = A000045(n+1) for n>1;

T(n,3) = A001590(n+2) for n>2;

T(n,n-2) = A028387(n-3) for n>2;

T(n,n-1) = A000217(n-1) for n>1;

Links

Table of n, a(n) for n=1..71.

Crossrefs

Sequence in context: A097351 A207330 A048600 * A061315 A144265 A209416

Adjacent sequences: A100575 A100576 A100577 * A100579 A100580 A100581

Keyword

nonn,tabl

Author

Reinhard Zumkeller, Nov 29 2004

Status

approved