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A157411
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30*n^4 - 120*n^3 + 120*n^2 - 19.
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4
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-19, 11, -19, 251, 1901, 6731, 17261, 36731, 69101, 119051, 191981, 294011, 431981, 613451, 846701, 1140731, 1505261, 1950731, 2488301, 3129851, 3887981, 4776011, 5807981, 6998651, 8363501, 9918731, 11681261, 13668731, 15899501, 18392651
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| These are the numerators in column j=4 of the array in A140825 (reference p. 36).
The other columns in A140825 are represented by A000012, A005408, A140811 and A141530.
The link between these columns is given by the first differences: a(n+1)-a(n) = 30*A141530(n), where 30 = A027760(4) = A027760(3) = A027642(4) = A002445(2), then for j=3, A141530(n+1)-A141530(n) = A140070(2)*A140811(n).
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REFERENCES
| P. Curtz, Integration numerique des systemes differentiels a conditions initiales, Centre de Calcul Scientifique de l'Armement, Note 12, Arcueil (1969).
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..10000
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FORMULA
| a(n)= 5*a(n-1) -10*a(n-2) +10*a(n-3) -5*a(n-4) +a(n-5). G.f.: (-19+106*x-264*x^2+646*x^3+251*x^4)/(1-x)^5.
a(n) = 4a(n-1)-6a(n-2)+4a(n-3)-a(n-4)+720. Fourth differences are constant, 720.
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PROG
| (MAGMA) [30*n^4 - 120*n^3 + 120*n^2 - 19: n in [0..50]]; // Vincenzo Librandi, Aug 07 2011
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CROSSREFS
| Sequence in context: A050276 A107808 A141045 * A166525 A083156 A040344
Adjacent sequences: A157408 A157409 A157410 * A157412 A157413 A157414
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KEYWORD
| sign,easy
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AUTHOR
| Paul Curtz (bpcrtz(AT)free.fr), Feb 28 2009
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EXTENSIONS
| Edited, one index corrected and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 17 2009
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