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A005476 n*(5n-1)/2. +0
6
0, 2, 9, 21, 38, 60, 87, 119, 156, 198, 245, 297, 354, 416, 483, 555, 632, 714, 801, 893, 990, 1092, 1199, 1311, 1428, 1550, 1677, 1809, 1946, 2088, 2235, 2387, 2544, 2706, 2873, 3045, 3222, 3404, 3591 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)=C(5*n,2)/5,n>=0 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 02 2007

a(n)=A033991(n)-A000326(n). - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 11 2007

a(n)=5*n+a(n-1)-8 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 12 2009]

EXAMPLE

For n=2, a(2)=5*2+0-8=2; n=3, a(3)=5*3+2-8=9; n=4, a(4)=5*4+9-8=21 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 12 2009]

MAPLE

[seq(binomial(5*n, 2)/5, n=0..38)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 02 2007

MATHEMATICA

lst={}; Do[AppendTo[lst, n*(5*n-1)/2], {n, 0, 5!}]; lst ...and/or... s=0; lst={s}; Do[s+=n+1; AppendTo[lst, s], {n, 1, 6!, 5}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 25 2008]

Table[Sum[i + 2*n - 1, {i, 1, n}], {n, 0, 42}] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 11 2009]

CROSSREFS

Sequence in context: A041285 A002888 A041963 this_sequence A131476 A023549 A024850

Adjacent sequences: A005473 A005474 A005475 this_sequence A005477 A005478 A005479

KEYWORD

nonn,new

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 27 14:17 EST 2009. Contains 167569 sequences.


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