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 A353029 Number of copies of the star graph S(2,2,2) contained in the n-dimensional hypercube graph. 1
 0, 0, 16, 1152, 16640, 140800, 887040, 4616192, 20987904, 86261760, 327782400, 1169653760, 3964207104, 12869828608, 40285306880, 122211532800, 360794030080, 1040028008448, 2935426646016, 8130951905280, 22146344550400, 59411980615680, 157208570494976 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS S(2,2,2) is the star graph with three legs of length two. LINKS Table of n, a(n) for n=1..23. Index entries for linear recurrences with constant coefficients, signature (14,-84,280,-560,672,-448,128). FORMULA a(n) = 2^n*C(n,3)*((n-1)^3 - 3*(n-1)). G.f.: 16*x^3*(1 + 58*x + 116*x^2 + 8*x^3)/(1 - 2*x)^7. - Stefano Spezia, Apr 20 2022 PROG (Python) from math import comb def a(n): return (2**n)*comb(n, 3)*((n-1)**3-3*(n-1)) CROSSREFS Cf. A352994, A352847. Sequence in context: A144915 A209541 A279295 * A053903 A254333 A102807 Adjacent sequences: A353026 A353027 A353028 * A353030 A353031 A353032 KEYWORD nonn,easy AUTHOR Ben Eck, Apr 20 2022 STATUS approved

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Last modified February 22 06:21 EST 2024. Contains 370240 sequences. (Running on oeis4.)