A062507 Table by antidiagonals related to partial sums and differences of Pell numbers (A000129).

0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 4, 3, 2, 1, 0, 10, 7, 5, 3, 1, 0, 24, 17, 12, 8, 4, 1, 0, 58, 41, 29, 20, 12, 5, 1, 0, 140, 99, 70, 49, 32, 17, 6, 1, 0, 338, 239, 169, 119, 81, 49, 23, 7, 1, 0, 816, 577, 408, 288, 200, 130, 72, 30, 8, 1, 0, 1970, 1393, 985, 696, 488, 330, 202, 102

Offset

0,7

Links

Table of n, a(n) for n=0..73.

Formula

T(n, k) =T(n, k-1)+T(n-1, k) =2T(n, k-1)+T(n, k-2)+C(n+k-3, k) for n>2.

Example

Rows start (0,1,0,2,4,10,...), (0,1,1,3,7,17,...), (0,1,2,5,12,29,...) etc.

Crossrefs

Rows are effectively A052542, A001333, A000129, A048739, A048776. Columns are effectively A000004, A000012, A001477, A022856.

Sequence in context: A191347 A106234 A238125 * A238750 A131044 A246027

Adjacent sequences: A062504 A062505 A062506 * A062508 A062509 A062510

Keyword

nonn,tabl

Author

Henry Bottomley, Jul 09 2001

Status

approved