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 A052206 Partial sums of A050405. 3
 1, 16, 100, 408, 1290, 3432, 8052, 17160, 33891, 62920, 110968, 187408, 304980, 480624, 736440, 1100784, 1609509, 2307360, 3249532, 4503400, 6150430, 8288280, 11033100, 14522040, 18915975 (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. Murray R.Spiegel, Calculus of Finite Differences and Difference Equations, "Schaum's Outline Series", McGraw-Hill, 1971, pp. 10-20, 79-94. LINKS Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1). FORMULA a(n) = (9n+7)*C(n+6, 6)/7. G.f.: (1+8*x)/(1-x)^8. MATHEMATICA LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {1, 16, 100, 408, 1290, 3432, 8052, 17160}, 30] (* Harvey P. Dale, May 28 2018 *) CROSSREFS Cf. A050405. Cf. A093644 ((9, 1) Pascal, column m=7). Sequence in context: A108677 A001249 A014796 * A169721 A125326 A126484 Adjacent sequences:  A052203 A052204 A052205 * A052207 A052208 A052209 KEYWORD easy,nonn AUTHOR Barry E. Williams, Jan 28 2000 STATUS approved

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Last modified October 17 07:05 EDT 2018. Contains 316276 sequences. (Running on oeis4.)