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Search: id:A157411
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| A157411 |
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30*n^4 -120*n^3 +120*n^2 -19. |
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+0
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; listen)
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OFFSET
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0,1
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COMMENT
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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 first differences: a(n+1)-a(n) = 30*A141530(n),
where 30 = A027760(4) = A140770(3) = A027642(4) = A002445(2), then for j=3
A141530(n+1)-A141530(n) = A140070(2)*A140811(n).
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REFERENCES
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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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FORMULA
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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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CROSSREFS
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Sequence in context: A050276 A107808 A141045 this_sequence A166525 A083156 A040344
Adjacent sequences: A157408 A157409 A157410 this_sequence A157412 A157413 A157414
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KEYWORD
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sign,easy
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Feb 28 2009
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EXTENSIONS
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Edited, one index corrected, and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 17 2009
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