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
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; ...
Programs
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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 (k
Formula
T(n, k) = if (kMichel Marcus, Nov 25 2018
Comments