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 A050403 Partial sums of A051877. 3
 1, 13, 70, 252, 714, 1722, 3696, 7260, 13299, 23023, 38038, 60424, 92820, 138516, 201552, 286824, 400197, 548625, 740278, 984676, 1292830, 1677390, 2152800, 2735460, 3443895, 4298931, 5323878, 6544720, 7990312, 9692584, 11686752, 14011536, 16709385, 19826709, 23414118, 27526668 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196. LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1). FORMULA a(n) = C(n+5, 5)*(7*n+6)/6. G.f.: (1+6*x)/(1-x)^7. E.g.f.: (5! +8640*x +16200*x^2 +9600*x^3 +2250*x^4 +216*x^5 +7*x^6 )*exp(x)/5!. - G. C. Greubel, Aug 29 2019 MAPLE Seq((7*n+6)*binomial(n+5, 5)/6, n=0..30); # G. C. Greubel, Aug 29 2019 MATHEMATICA Table[(7*n+6)*Binomial[n+5, 5]/6, {n, 0, 30}] (* G. C. Greubel, Aug 29 2019 *) PROG (PARI) a(n) = binomial(n+5, 5)*(7*n+6)/6; \\ Michel Marcus, Jan 09 2015 (MAGMA) [(7*n+6)*Binomial(n+5, 5)/6: n in [0..30]]; // G. C. Greubel, Aug 29 2019 (Sage) [(7*n+6)*binomial(n+5, 5)/6 for n in (0..30)] # G. C. Greubel, Aug 29 2019 (GAP) List([0..30], n-> (7*n+6)*Binomial(n+5, 5)/6); # G. C. Greubel, Aug 29 2019 CROSSREFS Cf. A051877. Cf. A093564 ((7, 1) Pascal, column m=6). Sequence in context: A146381 A085461 A081860 * A235454 A296831 A031442 Adjacent sequences:  A050400 A050401 A050402 * A050404 A050405 A050406 KEYWORD easy,nonn AUTHOR Barry E. Williams, Dec 21 1999 EXTENSIONS Corrected by T. D. Noe, Nov 09 2006 Terms a(28) onward added by G. C. Greubel, Aug 29 2019 STATUS approved

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Last modified October 20 14:40 EDT 2019. Contains 328267 sequences. (Running on oeis4.)