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 A301711 Partial sums of A301710. 1
 1, 6, 17, 34, 56, 83, 116, 155, 199, 248, 303, 364, 430, 501, 578, 661, 749, 842, 941, 1046, 1156, 1271, 1392, 1519, 1651, 1788, 1931, 2080, 2234, 2393, 2558, 2729, 2905, 3086, 3273, 3466, 3664, 3867, 4076, 4291, 4511, 4736, 4967, 5204, 5446, 5693, 5946, 6205, 6469, 6738, 7013, 7294, 7580 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301710. - 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,-3,1). FORMULA From Colin Barker, Apr 07 2018: (Start) G.f.: (1 + 3*x + 3*x^2 + 3*x^3 + x^4) / ((1 - x)^3*(1 + x^2)). a(n) = (1/8+i/8)*((3-3*i) + (-i)^(1+n) + i^n + (11-11*i)*n + (11-11*i)*n^2) where i=sqrt(-1). a(n) = 3*a(n-1) - 4*a(n-2) + 4*a(n-3) - 3*a(n-4) + a(n-5) for n>4. (End) MATHEMATICA LinearRecurrence[{3, -4, 4, -3, 1}, {1, 6, 17, 34, 56}, 100] (* Paolo Xausa, Jul 31 2024 *) CROSSREFS Cf. A301710. Sequence in context: A301727 A038795 A216892 * A066486 A301719 A056109 Adjacent sequences: A301708 A301709 A301710 * A301712 A301713 A301714 KEYWORD nonn AUTHOR N. J. A. Sloane, Mar 26 2018 EXTENSIONS More terms from R. J. Mathar, Mar 31 2018 STATUS approved

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Last modified September 10 06:17 EDT 2024. Contains 375773 sequences. (Running on oeis4.)