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 A047663 Row 6 of square array defined in A047662. 2
 6, 42, 188, 644, 1826, 4494, 9912, 20040, 37758, 67122, 113652, 184652, 289562, 440342, 651888, 942480, 1334262, 1853754, 2532396, 3407124, 4520978, 5923742, 7672616, 9832920, 12478830, 15694146, 19573092, 24221148, 29755914, 36308006 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Muniru A Asiru, Table of n, a(n) for n = 1..10000 FORMULA a(n) = (n/45) * (2n^5 + 6n^4 + 35n^3 + 60n^2 + 98n + 69). From Chai Wah Wu, Nov 01 2018: (Start) a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7) for n > 7. G.f.: x*(-6*x^4 - 20*x^2 - 6)/(x - 1)^7. (End) MAPLE seq(coeff(series(x*(-6*x^4-20*x^2-6)/(x-1)^7, x, n+1), x, n), n = 1 .. 35); # Muniru A Asiru, Nov 21 2018 MATHEMATICA LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {6, 42, 188, 644, 1826, 4494, 9912 }, 50] (* or *) CoefficientList[Series[-((2 (3 + 10 x^2 + 3 x^4))/(-1 + x)^7), {x, 0, 50}], x] (* Stefano Spezia, Nov 01 2018 *) PROG (GAP) List([1..35], n->n/45*(2*n^5+6*n^4+35*n^3+60*n^2+98*n+69)); # Muniru A Asiru, Nov 21 2018 CROSSREFS Sequence in context: A180806 A253946 A062136 * A326744 A054642 A321250 Adjacent sequences:  A047660 A047661 A047662 * A047664 A047665 A047666 KEYWORD nonn AUTHOR STATUS approved

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Last modified September 18 06:40 EDT 2020. Contains 337166 sequences. (Running on oeis4.)