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A081971 Consider the harmonic progression 1,1/2,1/3,1/4,1/5,..., group the terms such that the n-th group contains n members like this (1/1),(1/2,1/3),(1/4,1/5,1/6), (1/7,1/8,1/9,1/10),... a(n) = the numerator of the reduced rational sum of the terms of the n-th group. +0
2
1, 5, 37, 1207, 7793, 532541, 35036093, 419218787, 98431469723, 14642854403167, 6408932966879, 4075936031956831, 504163702484694137, 78452289445098136367, 9442422052170405158543, 711841627568479091422201 (list; graph; listen)
OFFSET

1,2

COMMENT

Equivalently, numerator of sum_{i=n(n-1)/2+1..n(n+1)/2} 1/i.

CROSSREFS

Denominator is in A082681.

Sequence in context: A166851 A090439 A089795 this_sequence A086877 A061674 A097276

Adjacent sequences: A081968 A081969 A081970 this_sequence A081972 A081973 A081974

KEYWORD

nonn,frac

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 03 2003

EXTENSIONS

More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 08 2003

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.


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