id:A084263 - OEIS Search Results

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Modified triangular numbers.

+0
4

1, 1, 4, 6, 11, 15, 22, 28, 37, 45, 56, 66, 79, 91, 106, 120, 137, 153, 172, 190, 211, 231, 254, 276, 301, 325, 352, 378, 407, 435, 466, 496, 529, 561, 596, 630, 667, 703, 742, 780, 821, 861, 904, 946, 991, 1035, 1082, 1128, 1177, 1225, 1276, 1326, 1379, 1431 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`a(n)=A000217(n)+A059841(n). Partial sums are A084570. Binomial transform is A084264.`
	FORMULA	`E.g.f.: cosh(x)+exp(x)(x+x^2/2); a(n)=(-1)^n/2+(n^2+n+1)/2; a(n)=sum{k=0..n, k+(-1)^k}.` `O.g.f.: -(-x+1+2x^2)/[(-1+x)^3(x+1)]. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 02 2008`
	CROSSREFS	`Adjacent sequences: A084260 A084261 A084262 this_sequence A084264 A084265 A084266` `Sequence in context: A002732 A144065 A036831 this_sequence A060180 A008369 A060577`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 31 2003`

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Last modified November 21 00:02 EST 2008. Contains 150810 sequences.

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