id:A103932 - OEIS Search Results

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Numerators of first difference of squares of harmonic numbers.

+0
3

1, 5, 10, 47, 131, 71, 353, 1487, 6989, 1451, 82451, 42433, 1132133, 1158863, 236749, 4828073, 41781863, 42482563, 273253759, 277235737, 56204647, 18975625, 441730115, 670193263, 33874048171, 34224132367, 311048966203, 313970420453 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`The corresponding denominators are given in A103933.`
	LINKS	`W. Lang: Rationals .`
	FORMULA	`a(n)=numerator(r(n)), with the rationals r(n)=H(n)^2-H(n-1)^2 where H(n)= A001008(n)/A002805(n), n>=1, H(0):=0.` `G.f. for r(n): (ln(1-x))^2 + dilog(1-x) where dilog(1-x)=polylog(2, x).`
	CROSSREFS	`Sequence in context: A083515 A103971 A035406 this_sequence A034190 A003587 A032088` `Adjacent sequences: A103929 A103930 A103931 this_sequence A103933 A103934 A103935`
	KEYWORD	`nonn,easy,frac`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Mar 24 2005`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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