A129636 Triangle T(n,k): base-3 digit sum of the Pascal type triangle A102363(n,k).

1, 2, 1, 2, 3, 3, 4, 1, 2, 3, 4, 5, 3, 1, 3, 4, 3, 4, 4, 4, 3, 4, 5, 7, 4, 6, 5, 5, 6, 5, 4, 7, 4, 7, 4, 3, 4, 5, 5, 7, 7, 7, 9, 7, 7, 8, 3, 4, 6, 8, 4, 4, 4, 6, 7, 8, 9, 5, 4, 8, 8, 8, 6, 8, 7, 9, 10, 9, 10, 7, 4, 6, 8, 10, 8

Offset: 0

Author

David G. Williams (davidwilliams(AT)paxway.com), Jun 09 2007

Keywords

• base
• nonn
• tabl

Examples

			..............1......................1........................1
.............2.3....................2.10.....................2.1
............4.5.7.................11.12.21..................2.3.3
...........8.9.12.15............22.100.110.120.............4.1.2.3
		

Crossrefs

Cf. A102363.

Programs

Maple

A053735 := proc(n) add(d,d=convert(n,base,3)) ; end proc:
A102363 := proc(n,k) if k=0 then 2^n elif k=n then 2^(n+1)-1 else procname(n-1, k)+procname(n-1, k-1) end if; end proc:
A129636 := proc(n,k) A053735(A102363(n,k)) ; end proc: # R. J. Mathar, Sep 09 2011

Formula

a(n) = A053735(A102363(n,k)). - R. J. Mathar, Sep 09 2011

Extensions

Corrected by R. J. Mathar, Sep 09 2011