A131684 a(n) = 24*(n^1 + 1!)*(n^2 + 2!)*(n^3 + 3!)*...*(n^6 + 6!)/6!.

829440, 3053435, 40040448, 2673065934, 323958835200, 24350583830265, 971969903106048, 23061845117771260, 365309311365605376, 4216355578004498775, 37787143366734755840, 275548505246977513866, 1693398609738955671552, 9010265266941299501973, 42393383140543522560000

Offset

0,1

Links

Colin Barker, Table of n, a(n) for n = 0..1000

Formula

G.f.: -(1103872*x^20 -312478243*x^19 -120671064318*x^18 -10924415464963*x^17 -365289416188928*x^16 -5416497937794108*x^15 -40283003777941144*x^14 -162386613652960172*x^13 -372036568602512352*x^12 -497148917411217834*x^11 -390969147820033860*x^10 -179789868762494298*x^9 -47275965677665472*x^8 -6823180930101292*x^7 -507249401959608*x^6 -17779798800764*x^5 -275765791840*x^4 -1220181963*x^3 -164465518*x^2 +15194245*x -829440) / (x -1)^22. - Colin Barker, Apr 15 2015

Prog

(PARI) a(n) = 24*prod(k=1, 6, n^k + k!)/6!; \\ Michel Marcus, Apr 15 2015

Crossrefs

See A049614.

Sequence in context: A254996 A083618 A238062 * A234403 A086128 A023347

Adjacent sequences: A131681 A131682 A131683 * A131685 A131686 A131687

Keyword

nonn,easy

Author

Alexander R. Povolotsky, Aug 29 2007

Status

approved