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A084265 Modified triangular numbers. +0
4
1, 2, 6, 9, 15, 20, 28, 35, 45, 54, 66, 77, 91, 104, 120, 135, 153, 170, 190, 209, 231, 252, 276, 299, 325, 350, 378, 405, 435, 464, 496, 527, 561, 594, 630, 665, 703, 740, 780, 819, 861, 902, 946, 989, 1035, 1080, 1128, 1175, 1225, 1274, 1326, 1377, 1431, 1484 (list; graph; listen)
OFFSET

0,2

COMMENT

a(n)=A000217(n)+A059841(n)+n. Binomial transform is A084266.

Partial sums give A064843. - njas, Jul 20 2008

FORMULA

E.g.f.:cosh(x)+exp(x)(2x+x^2/2); a(n)=(n^2+3n+1)/2+(-1)^n/2.

CROSSREFS

Cf. A084263.

Adjacent sequences: A084262 A084263 A084264 this_sequence A084266 A084267 A084268

Sequence in context: A079023 A049634 A120387 this_sequence A084140 A103139 A049622

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), May 31 2003

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Last modified October 9 14:06 EDT 2008. Contains 144831 sequences.


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