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 A009992 Powers of 48: a(n) = 48^n. 10
 1, 48, 2304, 110592, 5308416, 254803968, 12230590464, 587068342272, 28179280429056, 1352605460594688, 64925062108545024, 3116402981210161152, 149587343098087735296, 7180192468708211294208, 344649238497994142121984, 16543163447903718821855232 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS If X_1, X_2, ..., X_n is a partition of the set {1,2,...,2*n} into blocks of size 2 then, for n>=1, a(n) is equal to the number of functions f : {1,2,..., 2*n}->{1,2,3,4,5,6,7} such that for fixed y_1,y_2,...,y_n in {1,2,3,4,5,6,7} we have f(X_i)<>{y_i}, (i=1,2,...,n). - Milan Janjic, May 24 2007 The compositions of n in which each natural number is colored by one of p different colors are called p-colored compositions of n. For n >= 1, a(n) equals the number of 48-colored compositions of n such that no adjacent parts have the same color. - Milan Janjic, Nov 17 2011 LINKS T. D. Noe, Table of n, a(n) for n = 0..100 Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets Tanya Khovanova, Recursive Sequences Index entries for linear recurrences with constant coefficients, signature (48). FORMULA G.f.: 1/(1-48*x). - Philippe Deléham, Nov 24 2008 a(n) = 48^n; a(n) = 48*a(n-1), a(0)=1. - Vincenzo Librandi, Nov 21 2010 E.g.f.: exp(48*x). - Muniru A Asiru, Nov 21 2018 MAPLE A009992 := n -> 48^n: seq(A009992(n), n=0..20); # M. F. Hasler, Apr 19 2015 MATHEMATICA 48^Range[0, 15] (* Michael De Vlieger, Jan 13 2018 *) PROG (MAGMA)[48^n: n in [0..20]] // Vincenzo Librandi, Nov 21 2010 (PARI) A009992(n)=48^n \\ M. F. Hasler, Apr 19 2015 (GAP) List([0..20], n->48^n); # Muniru A Asiru, Nov 21 2018 (Python) for n in range(0, 20): print(48**n, end=', ') # Stefano Spezia, Nov 21 2018 (Sage) [(48)^n for n in range(20)] # G. C. Greubel, Nov 21 2018 CROSSREFS Cf. A001018 (powers of 8), ..., A001029 (powers of 19), A009964 (powers of 20), ..., A009991 (powers of 47), A087752 (powers of 49). Cf. A000079 (2^n), A000244 (3^n), A000302 (4^n), A000400 (6^n), A001018 (8^n), A001021 (12^n), A001025 (16^n), A009968 (24^n). Sequence in context: A263504 A158783 A227139 * A042105 A206046 A079240 Adjacent sequences:  A009989 A009990 A009991 * A009993 A009994 A009995 KEYWORD nonn,easy AUTHOR EXTENSIONS Edited by M. F. Hasler, Apr 19 2015 STATUS approved

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Last modified October 20 12:40 EDT 2019. Contains 328257 sequences. (Running on oeis4.)