A297495 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)=T(1,0)=1.

1, 1, 2, 2, 3, 5, 2, 4, 7, 12, 3, 5, 9, 16, 28, 5, 8, 13, 22, 38, 66, 2, 7, 15, 28, 50, 88, 154, 4, 6, 13, 28, 56, 106, 194, 348, 7, 11, 17, 30, 58, 114, 220, 414, 762, 12, 19, 30, 47, 77, 135, 249, 469, 883, 1645, 3, 15, 34, 64, 111, 188, 323, 572, 1041, 1924

Offset

0,3

Comments

Suggested by A297359.

Links

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

Example

Triangle begins:
1,
1,2,
2,3,5,
2,4,7,12,
3,5,9,16,28,
5,8,13,22,38,66,
2,7,15,28,50,88,154,
4,6,13,28,56,106,194,348,
7,11,17,30,58,114,220,414,762,
12,19,30,47,77,135,249,469,883,1645,
3,15,34,64,111,188,323,572,1041,1924,3569,
5,8,23,57,121,232,420,743,1315,2356,4280,7849,
9,14,22,45,102,223,455,875,1618,2933,5289,9569,17418,
16,25,39,61,106,208,431,886,1761,3379,6312,11601,21170,38588,
28,44,69,108,169,275,483,914,1800,3561,6940,13252,24853,46023,84611,
...,

Crossrefs

Cf. A297359, A297496 (right edge), A297497, A297498, A297186 (row sums).

Sequence in context: A138117 A175908 A152430 * A117918 A302495 A368255

Adjacent sequences: A297492 A297493 A297494 * A297496 A297497 A297498

Keyword

nonn,tabl

Author

N. J. A. Sloane, Dec 31 2017

Extensions

Terms a(21) and beyond from Lars Blomberg, Jan 01 2018

Status

approved