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A343198
Regular triangle T(n,k) of Dellac configurations with boundaries, n>=1 and k>=0.
0
1, 2, 3, 7, 9, 15, 38, 45, 63, 111, 295, 333, 423, 621, 1131, 3098, 3393, 4059, 5373, 8127, 15123, 42271, 45369, 52155, 64665, 87939, 135729, 256335, 726734, 769005, 859743, 1019601, 1295163, 1794825, 2810403, 5364471, 15366679, 16093413, 17631423, 20256021, 24549831, 31731453, 44583183, 70558101, 135751731
OFFSET
1,2
LINKS
Keiichi Shigechi, Generalized Dellac configurations, arXiv:2104.02455 [math.CO], 2021. See p. 24.
FORMULA
T(n, 0) = 2*T(n-1, 0) + Sum_{k=1..n-2} T(n-1, k).
EXAMPLE
Triangle begins:
1
2 3
7 9 15
38 45 63 111
295 333 423 621 1131
...
CROSSREFS
Cf. A000366 (1st column), A130168 (right diagonal).
Sequence in context: A211539 A109660 A236544 * A075855 A347268 A360251
KEYWORD
nonn,tabl
AUTHOR
Michel Marcus, Apr 07 2021
STATUS
approved