A322062 Sums of pairs of consecutive terms of Pascal's triangle read by row.

2, 2, 2, 3, 3, 2, 4, 6, 4, 2, 5, 10, 10, 5, 2, 6, 15, 20, 15, 6, 2, 7, 21, 35, 35, 21, 7, 2, 8, 28, 56, 70, 56, 28, 8, 2, 9, 36, 84, 126, 126, 84, 36, 9, 2, 10, 45, 120, 210, 252, 210, 120, 45, 10, 2, 11, 55, 165, 330, 462, 462, 330, 165, 55, 11, 2, 12, 66, 220, 495, 792, 924, 792, 495, 220, 66, 12, 1

Offset: 0

Author

Kei Ryan, Nov 25 2018

Keywords

• nonn
• tabl
• easy

Comments

Sums of pairs of adjacent terms of A007318. - N. J. A. Sloane, Jan 27 2019

Examples

			The 8th term is 6 because it is the sum of the 8th and 9th terms of Pascal's triangle read by row (3 + 3).
Triangle begins:
  2;
  2,  2;
  3,  3,  2;
  4,  6,  4,  2;
  5, 10, 10,  5,  2;
  ...
		

Crossrefs

Cf. A007318, A168557.

Programs

Mathematica

v = Flatten[Table[Binomial[n, k], {n, 0, 10}, {k, 0, n}]]; Most[v] + Rest[v] (* Amiram Eldar, Nov 25 2018 *)

PARI

T(n, k) = if (kMichel Marcus, Nov 25 2018

Formula

T(n, k) = if (kMichel Marcus, Nov 25 2018