A091881 - OEIS

A091881

Expansion of (1-11x)/((1-x)(1-16x)).

1, 6, 86, 1366, 21846, 349526, 5592406, 89478486, 1431655766, 22906492246, 366503875926, 5864062014806, 93824992236886, 1501199875790166, 24019198012642646, 384307168202282326, 6148914691236517206

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OFFSET

0,2

COMMENTS

With interpolated zeros, this is the multinomial expression sum{i=0..n,sum{j=0..n,sum{k=0..n,if (mod(n-2i-4j-4k,6)=0,n!/(i!j!k!(n-i-j-k)!),0)}}}. Binomial transform of A091882.

LINKS

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (17,-16).

FORMULA

a(n) = 16^n/3 + 2/3; a(n) = A001045(4*n) + 1.

a(0)=1, a(1)=6, a(n) = 17*a(n-1) - 16*a(n-2) [Harvey P. Dale, Dec 15 2011]

a(n) = A078008(4n). - Oboifeng Dira, May 29 2020

MATHEMATICA

CoefficientList[Series[(1-11x)/((1-x)(1-16x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{17, -16}, {1, 6}, 30] (* Harvey P. Dale, Dec 15 2011 *)

CROSSREFS

Cf. A001045, A078008, A091882.

Sequence in context: A318042 A155654 A231165 * A004701 A177570 A343636

Adjacent sequences: A091878 A091879 A091880 * A091882 A091883 A091884

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Feb 10 2004

STATUS

approved