id:A048999 - OEIS Search Results

Search: id:A048999

Displaying 1-1 of 1 results found.

page 1

Triangle giving coefficients of (n+1)!*B_n(x), where B_n(x) is a Bernoulli polynomial.

+0
5

1, 2, -1, 6, -6, 1, 24, -36, 12, 120, -240, 120, 0, -4, 720, -1800, 1200, 0, -120, 5040, -15120, 12600, 0, -2520, 0, 120, 40320, -141120, 141120, 0, -47040, 0, 6720, 362880, -1451520, 1693440, 0, -846720, 0, 241920, 0, -12096, 3628800 (list; graph; listen)

	OFFSET	`0,2`
	REFERENCES	`I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products, 5th ed., Section 9.62.`
	LINKS	`Index entries for sequences related to Bernoulli numbers.`
	FORMULA	`texp(xt)/(exp(t)-1) = Sum_{n >= 0} B_n(x)t^n/n!.`
	EXAMPLE	`B_1(x)=x-1/2; B_2(x)=x^2-x+1/6; B_3(x)=x^3-3x^2/2+x/2; B_4(x)=x^4-2x^3+x^2-1/30; ...`
	CROSSREFS	`Cf. A048998.` `Adjacent sequences: A048996 A048997 A048998 this_sequence A049000 A049001 A049002` `Sequence in context: A066667 A105278 A008297 this_sequence A090582 A079641 A075181`
	KEYWORD	`sign,easy,nice`
	AUTHOR	`njas`

page 1

Search completed in 0.002 seconds

Last modified October 11 09:12 EDT 2008. Contains 144832 sequences.

AT&T Labs Research