A316526 - OEIS

A316526

a(n) = 122880*6^n - 307200*5^n + 264960*4^n - 90240*3^n + 9844*2^n - 122.

122, 9966, 210134, 2741670, 27930182, 245220486, 1953210374, 14543545350, 103166087942, 706033804806, 4702595902214, 30675859444230, 196880387684102, 1247535454225926, 7825081688699654, 48684535015586310, 300917096071974662, 1850113238390115846

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OFFSET

0,1

LINKS

Table of n, a(n) for n=0..17.

Takao Komatsu, On poly-Euler numbers of the second kind, arXiv:1806.05515 [math.NT], 2018, page 11 (Lemma 3.4).

Index entries for linear recurrences with constant coefficients, signature (21,-175,735,-1624,1764,-720).

FORMULA

G.f.: 2*(61 + 3702*x + 11099*x^2 - 8382*x^3 + 840*x^4)/((1 - x)*(1 - 2*x)*(1 - 3*x)*(1 - 4*x)*(1 - 5*x)*(1 - 6*x)).

a(n) = 21*a(n-1) - 175*a(n-2) + 735*a(n-3) - 1624*a(n-4) + 1764*a(n-5) - 720*a(n-6) for n>6.

MATHEMATICA

Table[122880 6^n - 307200 5^n + 264960 4^n - 90240 3^n + 9844 2^n - 122, {n, 0, 20}]

PROG

(Magma) [122880*6^n-307200*5^n+264960*4^n-90240*3^n+9844*2^n-122: n in [0..20]];

CROSSREFS

Cf. A007051, A081188, A305861, A305862, A305863.

Sequence in context: A275226 A281609 A233071 * A375896 A324453 A275502

Adjacent sequences: A316523 A316524 A316525 * A316527 A316528 A316529

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Jul 06 2018

STATUS

approved