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Search: id:A022264
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| 0, 3, 13, 30, 54, 85, 123, 168, 220, 279, 345, 418, 498, 585, 679, 780, 888, 1003, 1125, 1254, 1390, 1533, 1683, 1840, 2004, 2175, 2353, 2538, 2730, 2929, 3135, 3348, 3568, 3795, 4029, 4270, 4518, 4773
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(n)=C(7*n,2)/7,n>=0 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 02 2007
a(n) = A049450(n) + A000217(n). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 09 2008]
a(n)=3*a(n-1)-3*a(n-2)+a(n-3), with a(0)=0, a(1)=3 and a(2)=13 [From Paolo P. Lava (ppl(AT)spl.at), Jul 29 2009]
a(n)=7*n+a(n-1)-11 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 12 2009]
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EXAMPLE
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For n=2, a(2)=7*2+0-11=3; n=3, a(3)=7*3+3-11=13; n=4, a(4)=7*4+13-11=30 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 12 2009]
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MAPLE
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[seq(binomial(7*n, 2)/7, n=0..37)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 02 2007
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MATHEMATICA
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s=0; lst={s}; Do[s+=n++ +3; AppendTo[lst, s], {n, 0, 6!, 7}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 16 2008]
Array[ #*(7*# - 1)/2 &, 47, 0] # A022264 n*(7 n - 1)/2. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 10 2009]
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CROSSREFS
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Sequence in context: A023553 A154300 A051805 this_sequence A097955 A077717 A145907
Adjacent sequences: A022261 A022262 A022263 this_sequence A022265 A022266 A022267
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KEYWORD
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nonn,new
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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