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Search: id:A140333
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| A140333 |
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n! * Bernoulli twin polynomial coefficients on line. n!=1,2,6 . |
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+0
2
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| 1, -1, 2, -2, 0, 6, -4, -12, 12, 24, -4, -60, -60, 120, 120, 24, -120, -720, -240, 1080, 720
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Analogy with B(n) numbers:For odd C(n): C(2n)=(C-1)^(2n-1),n grth 1, C(2n) disapears;example:C(4)=C(4)-3C(3)+3C(2)-C(1).0r for C(2n+1): (C-1)^2n=0,n posit;example: C(1)-4C(2)+6C(3)-4C(4)+C(5)=0.With positive coefficients,table
1, 2;
2, 2, 3;
3, 2, 3, 6;
4, 2, 3, 6, 30;
5, 2, 3, 6, 30, -30;
6, 2, 3, 6, 30, -30, -42;
gives C(n).Example:3C(0)+2C(1)+3C(2)+6C(3)=0.See -A051717(n+1),Bernoulli twin numbers denominators, with from 30 opposite twin.
For Bernoulli twin polynomials C(x,n) : C(-1,n)=C(0,n) and C(1,n)-C(0,n)=1.
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FORMULA
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See A129378 and A129826.
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CROSSREFS
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Sequence in context: A157077 A076256 A127467 this_sequence A135006 A086118 A104986
Adjacent sequences: A140330 A140331 A140332 this_sequence A140334 A140335 A140336
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KEYWORD
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sign,uned
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), May 28 2008
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