A214494 Triangle read by rows ; T(n,k) = C(n,k) - 2*C(n,k-1) where C(n,k) is a binomial coefficient .

1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 4, 3, 1, 5, 7, 1, 6, 12, 1, 7, 18, 12, 1, 8, 25, 30, 1, 9, 33, 55, 1, 10, 49, 88, 55, 1, 11, 59, 137, 143, 1, 12, 70, 196, 280, 1, 13, 82, 266, 476, 280, 1, 14, 95, 358, 742, 756

Offset

0,7

Links

Table of n, a(n) for n=0..56.

Example

Triangle begins :
1
1
1
1, 1
1, 2
1, 3
1, 4, 3
1, 5, 7
1, 6, 12
1, 7, 18, 12
1, 8, 25, 30
1, 9, 33, 55
1, 10, 49, 88, 55
1, 11, 59, 137, 143
1, 12, 70, 196, 280
1, 13, 82, 266, 476, 280
1, 14, 95, 348, 742, 756
1, 15, 109, 443, 1090, 1498

Crossrefs

Cf. A007318, A008315

Sequence in context: A256147 A079786 A032451 * A088445 A280696 A293247

Adjacent sequences: A214491 A214492 A214493 * A214495 A214496 A214497

Keyword

nonn,tabf

Author

Philippe Deléham, Jul 19 2012

Status

approved