OFFSET
0,2
COMMENTS
The original terms listed here were incorrect: 1002 through 8086 were listed as 988 through 8072, consistently 14 lower than the actual values. - Russ Cox, Apr 18 2024
LINKS
Takao Komatsu, Ritika Goel, and Neha Gupta, The Frobenius number for the triple of the 2-step star numbers, arXiv:2409.14788 [math.CO], 2024. See p. 2.
Index entries for linear recurrences with constant coefficients, signature (3,-3,1).
FORMULA
Binomial transform of (1, 21, 14, 0, 0, 0, ...).
a(n) = a(n-1) + 14*n + 7 (with a(0)=1). - Vincenzo Librandi, Nov 23 2010
Row sums of triangle A131876.
From Stefano Spezia, Sep 27 2024: (Start)
G.f.: (1 + 19*x - 6*x^2)/(1 - x)^3.
E.g.f.: exp(x)*(1 + 21*x + 7*x^2). (End)
EXAMPLE
a(2) = 57 = sum of row 2 terms of triangle A131876: (29 + 15 + 13).
a(2) = 57 = (1, 2, 1) dot (1, 21, 14) = (1 + 42 + 14).
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Gary W. Adamson, Jul 22 2007
EXTENSIONS
Corrected and extended by Russ Cox, Apr 18 2024
STATUS
approved