This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A132124 n * (n + 1) * (8 * n + 1) / 6. 8
 0, 3, 17, 50, 110, 205, 343, 532, 780, 1095, 1485, 1958, 2522, 3185, 3955, 4840, 5848, 6987, 8265, 9690, 11270, 13013, 14927, 17020, 19300, 21775, 24453, 27342, 30450, 33785, 37355, 41168, 45232, 49555, 54145, 59010, 64158, 69597, 75335, 81380 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS a(n) = A132121(n,2) for n>1. Convolution of the sequences (0,3,5,0,0,0,...) and (binom(n+3,3)), n>=0. - Emeric Deutsch, Aug 30 2007 LINKS FORMULA G.f.=x(3+5x)/(1-x)^4. - Emeric Deutsch, Aug 30 2007 a(n) = n*A014105(n)-A016061(n-1), being A016061(n-1) = sum[A014105(k), k=0..n-1] (n>0). Also a(n) = A002412(n)+A006331(n) = A007585(n)+A002378(n) - Bruno Berselli, Nov 25 2010 MAPLE seq((1/6)*n*(n+1)*(8*n+1), n=0..40); - Emeric Deutsch, Aug 30 2007 with(finance):seq(add(cashflows([n*k, k^2, 0], 1)*4, k=0..n), n=0..40); - Zerinvary Lajos, Jul 16 2008 CROSSREFS Cf. A000330, A033994, A132112, A050409. Cf. A014105, A016061; A002412, A006331; A007585, A002378. Sequence in context: A144640 A084069 A297514 * A011917 A018691 A225727 Adjacent sequences:  A132121 A132122 A132123 * A132125 A132126 A132127 KEYWORD nonn AUTHOR Reinhard Zumkeller, Aug 12 2007 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 18 22:17 EDT 2018. Contains 313840 sequences. (Running on oeis4.)