A103462 A triangle with palindromic cubes, read by rows.

1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 2, 5, 4, 1, 1, 2, 9, 10, 5, 1, 1, 2, 17, 28, 17, 6, 1, 1, 2, 33, 82, 65, 26, 7, 1, 1, 2, 65, 244, 257, 126, 37, 8, 1, 1, 2, 129, 730, 1025, 626, 217, 50, 9, 1, 1, 2, 257, 2188, 4097, 3126, 1297, 344, 65, 10, 1, 1, 2, 513, 6562, 16385, 15626, 7777

Offset

0,5

Links

Table of n, a(n) for n=0..72.

P. De Geest, World!Of Numbers

Formula

Number triangle T(n, k)=if(k<=n, k^(n-k)+1-0^(n-k), 0); Column k has g.f. x^k(1-kx^2)/((1-x)(1-kx)).

Example

Rows start {1}, {1,1}, {1,2,1}, {1,2,3,1}, {1,2,5,4,1},..

Crossrefs

Columns include A040000, A083318, A103457, A046231, A046233, A103458, A103459, A000533. Cubes of column k are palindromic to base k, k>3 (start with column 0). Row sums are A103480. Diagonal sums are A103481.

Sequence in context: A117935 A224698 A179749 * A225641 A116855 A173265

Adjacent sequences: A103459 A103460 A103461 * A103463 A103464 A103465

Keyword

easy,nonn,tabl

Author

Paul Barry, Feb 07 2005

Status

approved