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A083392 Alternating partial sums of A000217. +0
2
0, -1, 2, -4, 6, -9, 12, -16, 20, -25, 30, -36, 42, -49, 56, -64, 72, -81, 90, -100, 110, -121, 132, -144, 156, -169, 182, -196, 210, -225, 240, -256, 272, -289, 306, -324, 342, -361, 380, -400, 420, -441, 462, -484, 506, -529, 552, -576, 600, -625, 650, -676, 702 (list; graph; listen)
OFFSET

0,3

FORMULA

Sum{i=0, n, (-1)^i*t(i)} where t(i)=i*(i+1)/2

EXAMPLE

a(4)=t(0)-t(1)+t(2)-t(3)+t(4)=0-1+3-6+10=6

PROGRAM

(PARI) t(n)=n*(n+1)/2 for (n=0, 30, print1(sum(i=0, n, (-1)^i*t(i))", "))

CROSSREFS

Cf. A000217, A002620.

Sequence in context: A075354 A086378 A088900 this_sequence A076921 A002620 A087811

Adjacent sequences: A083389 A083390 A083391 this_sequence A083393 A083394 A083395

KEYWORD

sign

AUTHOR

Jon Perry (perry(AT)globalnet.co.uk), Jun 11 2003

EXTENSIONS

More terms from David W. Wilson, Jun 14 2003

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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