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A316459 Expansion of 30*x*(1 + x) / (1 - x)^4. 4
30, 150, 420, 900, 1650, 2730, 4200, 6120, 8550, 11550, 15180, 19500, 24570, 30450, 37200, 44880, 53550, 63270, 74100, 86100, 99330, 113850, 129720, 147000, 165750, 186030, 207900, 231420, 256650, 283650, 312480, 343200, 375870, 410550, 447300, 486180 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Seems to be the third column of A316349.
LINKS
FORMULA
G.f.: 30*x*(1 + x) / (1 - x)^4.
a(n) = 30 * A000330(n).
a(n) = 10*n^3 + 15*n^2 + 5*n.
a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>4.
PROG
(PARI) Vec(30*x*(1 + x) / (1 - x)^4 + O(x^40))
(PARI) a(n) = 10*n^3 + 15*n^2 + 5*n
CROSSREFS
Sequence in context: A135175 A186895 A185480 * A342483 A206040 A042760
KEYWORD
nonn,easy
AUTHOR
Colin Barker, Aug 12 2018
STATUS
approved

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Last modified July 20 05:30 EDT 2024. Contains 374441 sequences. (Running on oeis4.)