|
Search: id:A119412
|
|
|
| A119412 |
|
Sum((binomial(2,3*j)+n),j=12..n). |
|
+0
2
|
|
| 0, 12, 26, 42, 60, 80, 102, 126, 152, 180, 210, 242, 276, 312, 350, 390, 432, 476, 522, 570, 620, 672, 726, 782, 840, 900, 962, 1026, 1092, 1160, 1230, 1302, 1376, 1452, 1530, 1610, 1692, 1776, 1862, 1950, 2040, 2132, 2226, 2322, 2420, 2520
(list; graph; listen)
|
|
|
OFFSET
|
11,2
|
|
|
FORMULA
|
Equals 2*A056115 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 12 2007
a(n)=n*((n+3)*5-(n+1)*4), n>=0 . - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 06 2007
a(n)=2*n+a(n-1)+8 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 08 2009]
|
|
EXAMPLE
|
For n=2, a(2)=2*2+0+8=12; n=3, a(3)=2*3+12+8=26; n=4, a(4)=2*4+26+8=42 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 08 2009]
|
|
MAPLE
|
a:=n->sum((binomial(2, 3*j)+n), j=12..n): seq(a(n), n=11..56);
a:=n->sum(n, j=12..n): seq(a(n), n=11..56); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 12 2007
seq(n*((n+3)*5-(n+1)*4), n=0..45); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 06 2007
seq(GAMMA(n+7)/GAMMA(n+5)-30, n=0..45); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 23 2007
|
|
MATHEMATICA
|
s=0; lst={s}; Do[s+=n++ +12; AppendTo[lst, s], {n, 0, 7!, 2}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 19 2008]
|
|
CROSSREFS
|
Cf. A063930.
Sequence in context: A025138 A075689 A054303 this_sequence A105814 A030736 A003346
Adjacent sequences: A119409 A119410 A119411 this_sequence A119413 A119414 A119415
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 26 2006
|
|
|
Search completed in 0.002 seconds
|
