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A244726 6*n^3. 2
0, 6, 48, 162, 384, 750, 1296, 2058, 3072, 4374, 6000, 7986, 10368, 13182, 16464, 20250, 24576, 29478, 34992, 41154, 48000, 55566, 63888, 73002, 82944, 93750, 105456, 118098, 131712, 146334, 162000, 178746, 196608, 215622, 235824, 257250, 279936, 303918 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

FORMULA

G.f.: 6*x*(1 + 4*x + x^2)/(1 - x)^4.

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>3.

MATHEMATICA

Table[6 n^3, {n, 0, 40}] (* or *) CoefficientList[Series[6 x (1 + 4 x + x^2)/(1 - x)^4, {x, 0, 40}], x]

PROG

(MAGMA) [6*n^3: n in [0..40]] /* or */ I:=[0, 6, 48, 162]; [n le 4 select I[n] else 4*Self(n-1)-6*Self(n-2)+4*Self(n-3)-Self(n-4): n in [1..40]];

CROSSREFS

Cf. similar sequences listed in A244725.

Sequence in context: A250226 A250274 A167547 * A005353 A047927 A059238

Adjacent sequences:  A244723 A244724 A244725 * A244727 A244728 A244729

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Jul 05 2014

STATUS

approved

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Last modified January 21 10:26 EST 2020. Contains 331105 sequences. (Running on oeis4.)