|
| |
|
|
A162147
|
|
n*(n+1)*(5*n+4)/6.
|
|
3
| |
|
|
0, 3, 14, 38, 80, 145, 238, 364, 528, 735, 990, 1298, 1664, 2093, 2590, 3160, 3808, 4539, 5358, 6270, 7280, 8393, 9614, 10948, 12400, 13975, 15678, 17514, 19488, 21605, 23870, 26288, 28864, 31603, 34510, 37590, 40848, 44289, 47918, 51740, 55760
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
COMMENTS
| Partial sums of A005475.
|
|
|
FORMULA
| a(n)=4*a(n-1)-6*a(n-2)+4*a(n-3)-a(n-4) = A033994(n)+A000217(n). G.f.: x*(3+2*x)/(x-1)^4. [R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 27 2009]
|
|
|
MATHEMATICA
| f[n_]:=5*n+3; s1=s2=0; lst={}; Do[a=f[n]; s1+=a; s2+=s1; AppendTo[lst, s2], {n, 0, 6!}]; lst
|
|
|
CROSSREFS
| Cf. A033994, A002413, A016061, A006331, A002412.
Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Feb 04 2010: (Start)
Equals A035005(n+1) divided by 4.
(End)
Sequence in context: A068044 A141129 A143941 * A027444 A000263 A102590
Adjacent sequences: A162144 A162145 A162146 * A162148 A162149 A162150
|
|
|
KEYWORD
| nonn,easy
|
|
|
AUTHOR
| Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 25 2009
|
|
|
EXTENSIONS
| Definition rephrased by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 27 2009
|
| |
|
|
