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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 Colin Barker, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1). 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 Cf. A000330, A316349, A316457, A316458. Sequence in context: A135175 A186895 A185480 * A206040 A042760 A042762 Adjacent sequences:  A316456 A316457 A316458 * A316460 A316461 A316462 KEYWORD nonn,easy AUTHOR Colin Barker, Aug 12 2018 STATUS approved

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Last modified August 11 06:25 EDT 2020. Contains 336422 sequences. (Running on oeis4.)