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A290914 a(n) = (1/7)*A290913(n). 3
0, 1, 4, 17, 76, 336, 1484, 6559, 28988, 128111, 566184, 2502240, 11058600, 48873265, 215994436, 954583169, 4218761572, 18644733936, 82400035556, 364165339279, 1609421566844, 7112807014943, 31434910948176, 138925971735744, 613980604384080, 2713475226049825 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Clark Kimberling, Table of n, a(n) for n = 0..1000

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

FORMULA

G.f.: x/(1 - 4 x - x^2 - 4 x^3 + x^4).

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

a(n) = (1/7)*A290913(n) for n >= 0.

MATHEMATICA

z = 60; s = x/(1 - x)^2; p = 1 - 7 s^2;

Drop[CoefficientList[Series[s, {x, 0, z}], x], 1] (* A000027 *)

u = Drop[CoefficientList[Series[1/p, {x, 0, z}], x], 1] (* A290913 *)

u/7 (* A290914 *)

CROSSREFS

Cf. A000027, A290890, A290913.

Sequence in context: A265680 A255714 A151247 * A117439 A081910 A026773

Adjacent sequences:  A290911 A290912 A290913 * A290915 A290916 A290917

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Aug 18 2017

STATUS

approved

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Last modified April 19 16:57 EDT 2019. Contains 322283 sequences. (Running on oeis4.)