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Search: id:A114113
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A114113 a(n) = sum{k=1 to n} (A114112(k)). (For n>=2, a(n) = sum{k=1 to n} (A014681(k)) =sum{k=1 to n} (A103889(k)).). +0
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1, 3, 7, 10, 16, 21, 29, 36, 46, 55, 67, 78, 92, 105, 121, 136, 154, 171, 191, 210, 232, 253, 277, 300, 326, 351, 379, 406, 436, 465, 497, 528, 562, 595, 631, 666, 704, 741, 781, 820, 862, 903, 947, 990, 1036, 1081, 1129, 1176, 1226, 1275, 1327, 1378, 1432 (list; graph; listen)
OFFSET

1,2

COMMENT

a(n) is not divisible by (A114112(n+1)).

LINKS

Leroy Quet, Home Page (listed in lieu of email address)

FORMULA

a(1)=1. a(2n) = n*(2n+1). a(2n+1) = 2n^2 +3n +2.

a(n) = A026035(n+1)-A026035(n), n>1. G.f.: x(1+x+x^2-2x^3+x^4)/((1+x)(1-x)^3). a(n)=2*a(n-1)-2*a(n-3)+a(n-4), n>5. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 04 2008]

CROSSREFS

Cf. A014681, A103889, A114112.

Sequence in context: A121016 A151733 A088636 this_sequence A100056 A163714 A128223

Adjacent sequences: A114110 A114111 A114112 this_sequence A114114 A114115 A114116

KEYWORD

easy,nonn

AUTHOR

Leroy Quet Nov 13 2005

EXTENSIONS

More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 31 2007

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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