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 A160538 a(n)=4(n^4-n^3) 0
 0, 32, 216, 768, 2000, 4320, 8232, 14336, 23328, 36000, 53240, 76032, 105456, 142688, 189000, 245760, 314432, 396576, 493848, 608000, 740880, 894432, 1070696, 1271808, 1500000, 1757600, 2047032, 2370816, 2731568, 3132000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS a(n) is the number of edges in a four-dimensional hypercube (a tesseract) having sides of length n. LINKS Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1). FORMULA O.g.f.:(32x^2+56x^3+8x^4)/(1-x)^5 E.g.f.:4*exp(x)*x^2 (4 + 5 x + x^2) EXAMPLE a(1) = 32 because the four dimensional unit hypercube has 32 edges. MATHEMATICA Table[4 (n^4 - n^3), {n, 20}] LinearRecurrence[{5, -10, 10, -5, 1}, {0, 32, 216, 768, 2000}, 30] (* Harvey P. Dale, Nov 05 2017 *) CROSSREFS Cf. A046092, A059986 Sequence in context: A119286 A125342 A126500 * A200787 A250354 A146089 Adjacent sequences:  A160535 A160536 A160537 * A160539 A160540 A160541 KEYWORD nonn AUTHOR Geoffrey Critzer, May 18 2009 EXTENSIONS More terms from Harvey P. Dale, Nov 05 2017 STATUS approved

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Last modified May 21 09:11 EDT 2019. Contains 323441 sequences. (Running on oeis4.)