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 A100503 Bisection of A000125. 2
 1, 4, 15, 42, 93, 176, 299, 470, 697, 988, 1351, 1794, 2325, 2952, 3683, 4526, 5489, 6580, 7807, 9178, 10701, 12384, 14235, 16262, 18473, 20876, 23479, 26290, 29317, 32568, 36051, 39774, 43745, 47972, 52463, 57226, 62269, 67600, 73227, 79158 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..5000 Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1). FORMULA a(n) = (4*n^3 + 5*n + 3)/3. - Ralf Stephan, May 15 2007 From Colin Barker, Aug 20 2012: (Start) a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4). G.f.: (1+5*x^2+2*x^3)/(1-x)^4. (End) E.g.f.: (3 + 9*x + 12*x^2 + 4*x^3)*exp(x). - G. C. Greubel, Apr 03 2023 MATHEMATICA LinearRecurrence[{4, -6, 4, -1}, {1, 4, 15, 42}, 40] (* Harvey P. Dale, Apr 12 2013 *) PROG (Magma) [(4*n^3+5*n+3)/3: n in [0..40]]; // G. C. Greubel, Apr 03 2023 (SageMath) [1+n*(4*n^2+5)/3 for n in range(41)] # G. C. Greubel, Apr 03 2023 CROSSREFS Cf. A000125. Sequence in context: A342352 A011844 A075468 * A085829 A085567 A187928 Adjacent sequences: A100500 A100501 A100502 * A100504 A100505 A100506 KEYWORD nonn,easy AUTHOR N. J. A. Sloane, Nov 24 2004 EXTENSIONS More terms from Hugo Pfoertner, Nov 25 2004 STATUS approved

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Last modified September 23 01:19 EDT 2023. Contains 365532 sequences. (Running on oeis4.)