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A055583
Seventh column of triangle A055252.
3
1, 10, 58, 256, 955, 3178, 9740, 28064, 77093, 203930, 523262, 1309520, 3209871, 7731642, 18348240, 42989520, 99612345, 228586890, 520090690, 1174401760, 2634019171, 5872021450, 13019115028, 28722588736, 63082326605
OFFSET
0,2
LINKS
Robert Davis, Greg Simay, Further Combinatorics and Applications of Two-Toned Tilings, arXiv:2001.11089 [math.CO], 2020.
FORMULA
G.f.: 1/(((1-2*x)^3)*(1-x)^4).
a(n) = A055252(n+6, 6).
a(n) = Sum_{j=0..n-1} a(j) + A055250(n), n >= 1.
MATHEMATICA
CoefficientList[Series[1/(((1 - 2 x)^3) (1 - x)^4), {x, 0, 24}], x] (* Michael De Vlieger, Apr 24 2020 *)
LinearRecurrence[{10, -42, 96, -129, 102, -44, 8}, {1, 10, 58, 256, 955, 3178, 9740}, 30] (* Harvey P. Dale, Nov 06 2022 *)
CROSSREFS
Cf. A055252, A055249, A055250, partial sums of A055582.
Sequence in context: A189072 A189417 A060157 * A242202 A125320 A321112
KEYWORD
easy,nonn
AUTHOR
Wolfdieter Lang, May 26 2000
STATUS
approved