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 A208658 Row sums of A208657. 4
 0, 4, 17, 52, 139, 346, 825, 1912, 4343, 9718, 21493, 47092, 102387, 221170, 475121, 1015792, 2162671, 4587502, 9699309, 20447212, 42991595, 90177514, 188743657, 394264552, 822083559, 1711276006, 3556769765, 7381975012 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Table of n, a(n) for n=1..28. Index entries for linear recurrences with constant coefficients, signature (6,-13,12,-4). FORMULA Conjectures from Colin Barker, Mar 20 2012: (Start) a(n) = -2^(-1+n)+(-1+2^n)*n. G.f.: x^2*(4-7*x+2*x^2)/((1-x)^2*(1-2*x)^2). (End) From Stefano Spezia, Nov 19 2023: (Start) The above conjectures are true. E.g.f.: exp(x)*(exp(x)*(4*x - 1) - 2*x)/2. (End) MATHEMATICA f[n_, k_] := n*Binomial[n, k] - Binomial[n - 1, k - 1] Table[Sum[f[n, k], {k, 1, n}], {n, 1, 3 z}](* A208658 *) CROSSREFS Cf. A208657. Sequence in context: A131339 A362173 A047668 * A092091 A046995 A001585 Adjacent sequences: A208655 A208656 A208657 * A208659 A208660 A208661 KEYWORD nonn,easy AUTHOR Clark Kimberling, Mar 01 2012 STATUS approved

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Last modified May 25 01:50 EDT 2024. Contains 372782 sequences. (Running on oeis4.)