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 A144453 a(n) = A061039(8*n+5). 2
 16, 160, 16, 832, 1360, 224, 2800, 3712, 176, 5920, 7216, 320, 10192, 11872, 1520, 15616, 17680, 736, 22192, 24640, 336, 29920, 32752, 3968, 38800, 42016, 560, 48832, 52432, 2080, 60016, 64000, 7568, 72352, 76720, 3008, 85840, 90592, 3536, 100480, 105616 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Numerators of 16*(n+1)*(4*n+1)/(9*(8*n+5)^2), so all numbers are multiples of 16 because the denominator is always odd. Interpreted modulo 9, all numbers from 1 to 8 appear: a(20) is the first entry = 3 (mod 9), a(26) is the first entry = 2 (mod 9), a(80) is the first entry = 6 (mod 9). LINKS Colin Barker, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1). FORMULA a(n) = A061039(8*n+5). a(n) = 3*a(n-27) - 3*a(n-54) + a(n-81) for n>83. - Colin Barker, Oct 10 2016 MATHEMATICA Numerator[1/9 - 1/(8*Range[0, 100] +5)^2] (* G. C. Greubel, Mar 07 2022 *) PROG (Sage) [numerator(1/9 - 1/(8*n+5)^2) for n in (0..100)] # G. C. Greubel, Mar 07 2022 CROSSREFS Cf. A020806, A141425, A146537. Sequence in context: A220630 A041005 A180798 * A121036 A224058 A073394 Adjacent sequences:  A144450 A144451 A144452 * A144454 A144455 A144456 KEYWORD nonn,easy AUTHOR Paul Curtz, Oct 07 2008 EXTENSIONS Edited and extended by R. J. Mathar, Oct 24 2008 STATUS approved

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Last modified May 28 22:08 EDT 2022. Contains 354122 sequences. (Running on oeis4.)