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A067352 Divide the natural numbers in sets of consecutive numbers starting with {1,2} as the first set. The number of elements of the n-th set is equal to the sum of the n-1 final numbers in the (n-1)st set. The number of elements of the n-th set gives a(n). 1
2, 2, 7, 30, 158, 985, 7089, 57890, 529276, 5358915, 59543495, 720476284, 9431689530, 132829627541, 2002662076765, 32185640519430, 549301598198264 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

FORMULA

a(n) = (1+a(1)+a(2)+...+a(n-1)-n/2)*(n-1).

EXAMPLE

The sets begin {1,2},{3,4},{5,6,...,9,10,11},{12,13,...,38,39,40,41},...

CROSSREFS

Cf. A067353.

Sequence in context: A069101 A138802 A047003 * A062448 A139523 A079242

Adjacent sequences:  A067349 A067350 A067351 * A067353 A067354 A067355

KEYWORD

easy,nonn

AUTHOR

Floor van Lamoen (fvlamoen(AT)hotmail.com), Jan 17 2002

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Last modified February 15 05:15 EST 2012. Contains 205694 sequences.