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Search: id:A157517
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| 7, 13, 7, -11, -41, -83, -137, -203, -281, -371, -473, -587, -713, -851, -1001, -1163, -1337, -1523, -1721, -1931, -2153, -2387, -2633, -2891, -3161, -3443, -3737, -4043, -4361, -4691, -5033, -5387, -5753, -6131, -6521, -6923, -7337, -7763, -8201, -8651
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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From John Couch Adams multisteps integration of differential equations, 1855.
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REFERENCES
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P. Curtz Integration numerique des systemes differentiels..,C.C.S.A., Arcueil,1969,p.36.
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FORMULA
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a(n) = 12n+6-A140811(n) = A017593(n)-A140811(n).
Recurrences: a(n) = 2a(n-1)-a(n-2)-12 = 3a(n-1)-3a(n-2)+a(n-3).
First differences: a(n+1)-a(n) = -A017593(n-1), n>0. Second difference are all -12.
a(n+2)-a(n) = -A008606(n).
G.f.: (-7+8*x+11*x^2)/(x-1)^3. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 15 2009
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CROSSREFS
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Sequence in context: A157808 A125741 A103705 this_sequence A164929 A081257 A046163
Adjacent sequences: A157514 A157515 A157516 this_sequence A157518 A157519 A157520
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KEYWORD
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sign
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Mar 02 2009
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EXTENSIONS
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Edited and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 15 2009
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