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 A301698 Partial sums of A301697. 1
 1, 6, 16, 32, 54, 81, 113, 150, 192, 240, 294, 353, 417, 486, 560, 640, 726, 817, 913, 1014, 1120, 1232, 1350, 1473, 1601, 1734, 1872, 2016, 2166, 2321, 2481, 2646, 2816, 2992, 3174, 3361, 3553, 3750, 3952, 4160, 4374, 4593, 4817, 5046, 5280, 5520, 5766, 6017, 6273, 6534, 6800, 7072, 7350, 7633, 7921, 8214, 8512, 8816, 9126, 9441, 9761 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301697. - Ray Chandler, Aug 30 2023 LINKS Ray Chandler, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (3,-4,4,-4,4,-3,1). FORMULA From Colin Barker, Apr 08 2018: (Start) G.f.: (1 + 3*x + 2*x^2 + 4*x^3 + 2*x^4 + 3*x^5 + x^6) / ((1 - x)^3*(1 - x + x^2)*(1 + x + x^2)). a(n) = 3*a(n-1) - 4*a(n-2) + 4*a(n-3) - 4*a(n-4) + 4*a(n-5) - 3*a(n-6) + a(n-7) for n>6. (End) MATHEMATICA LinearRecurrence[{3, -4, 4, -4, 4, -3, 1}, {1, 6, 16, 32, 54, 81, 113}, 100] (* Paolo Xausa, Jul 31 2024 *) CROSSREFS Cf. A301697. Sequence in context: A369548 A296957 A341276 * A301713 A134465 A036488 Adjacent sequences: A301695 A301696 A301697 * A301699 A301700 A301701 KEYWORD nonn,changed AUTHOR N. J. A. Sloane, Mar 26 2018 STATUS approved

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Last modified August 11 04:59 EDT 2024. Contains 375059 sequences. (Running on oeis4.)