A297497 Triangle T(n,k) (n>=0, 0<=k<=n) read by rows: use T(n,k)=T(n,k-1)+T(n-1,k-1) rule except left edge is the sequence read by rows, initial values are T(0,0)=0, T(1,0)=1.

0, 1, 1, 1, 2, 3, 1, 2, 4, 7, 2, 3, 5, 9, 16, 3, 5, 8, 13, 22, 38, 1, 4, 9, 17, 30, 52, 90, 2, 3, 7, 16, 33, 63, 115, 205, 4, 6, 9, 16, 32, 65, 128, 243, 448, 7, 11, 17, 26, 42, 74, 139, 267, 510, 958, 2, 9, 20, 37, 63, 105, 179, 318, 585, 1095, 2053, 3, 5, 14

Offset

0,5

Comments

Suggested by A297359.

Links

Lars Blomberg, Table of n, a(n) for n = 0..9869 (The first 140 rows)

Example

Triangle begins:
0,
1,1,
1,2,3,
1,2,4,7,
2,3,5,9,16,
3,5,8,13,22,38,
1,4,9,17,30,52,90,
2,3,7,16,33,63,115,205,
4,6,9,16,32,65,128,243,448,
7,11,17,26,42,74,139,267,510,958,
2,9,20,37,63,105,179,318,585,1095,2053,
3,5,14,34,71,134,239,418,736,1321,2416,4469,
5,8,13,27,61,132,266,505,923,1659,2980,5396,9865,
9,14,22,35,62,123,255,521,1026,1949,3608,6588,11984,21849,
16,25,39,61,96,158,281,536,1057,2083,4032,7640,14228,26212,48061,
...

Crossrefs

Cf. A297359, A297498 (right edge), A297495, A297496, A297187 (row sums).

Sequence in context: A275728 A364057 A081536 * A152736 A139246 A187247

Adjacent sequences: A297494 A297495 A297496 * A297498 A297499 A297500

Keyword

nonn,tabl

Author

N. J. A. Sloane, Dec 31 2017

Extensions

Terms a(28) and beyond from Lars Blomberg, Jan 01 2018

Status

approved