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A170734 G.f.: (1+x)/(1-14*x). 50
1, 15, 210, 2940, 41160, 576240, 8067360, 112943040, 1581202560, 22136835840, 309915701760, 4338819824640, 60743477544960, 850408685629440, 11905721598812160, 166680102383370240, 2333521433367183360, 32669300067140567040, 457370200939967938560, 6403182813159551139840 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

For n>=1, a(n) equals the numbers of words of length n-1 on alphabet {0,1,...,14} with no two adjacent letters identical. -Milan Janjic, Jan 31 2015

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..800

M. Janjic, On Linear Recurrence Equations Arising from Compositions of Positive Integers, J. Int. Seq. 18 (2015) # 15.4.7.

Index entries for linear recurrences with constant coefficients, signature (14).

FORMULA

a(n) = Sum_{k, 0<=k<=n} A097805(n,k)*(-1)^(n-k)*15^k. - Philippe Deléham, Dec 04 2009

a(0) = 1; for n>0, a(n) = 15*14^(n-1). - Vincenzo Librandi, Dec 05 2009

a(0) = 1, a(1) = 15, a(n) = 14*a(n-1). - Vincenzo Librandi, Dec 10 2012

MATHEMATICA

Join[{1}, 15*14^Range[0, 25]] (* Vladimir Joseph Stephan Orlovsky, Jul 11 2011 *)

CoefficientList[Series[(1 + x)/(1 - 14 x), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 10 2012 *)

CROSSREFS

Cf. A003954, A170733.

Sequence in context: A170600 A170648 A170696 * A186231 A001880 A240682

Adjacent sequences:  A170731 A170732 A170733 * A170735 A170736 A170737

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Dec 04 2009

STATUS

approved

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Last modified September 17 10:37 EDT 2019. Contains 327129 sequences. (Running on oeis4.)