|
Search: id:A152729
|
|
|
| A152729 |
|
a(n)+a(n+1)+a(n+2)=n^4. |
|
+0
5
|
|
| 0, 0, 1, 15, 65, 176, 384, 736, 1281, 2079, 3201, 4720, 6720, 9296, 12545, 16575, 21505, 27456, 34560, 42960, 52801, 64239, 77441, 92576, 109824, 129376, 151425, 176175, 203841, 234640, 268800, 306560, 348161, 393855, 443905, 498576, 558144
(list; graph; listen)
|
|
|
OFFSET
|
1,4
|
|
|
COMMENT
|
0+0+1=1^4;0+1+15=2^4;1+15+65=3^4;...
|
|
FORMULA
|
a(n)=-(1/3)+(4/3)*(n-1)^3+(2/3)*(n-1)^2-(4/3)*(n-1)-[(1/6)*I]*sqrt(3)*[ -(1/2)+(1/2)*I*sqrt(3)]^(n-1)+(1/6)*[ -(1/2)-(1/2)*I*sqrt(3)]^(n-1)+(1/3)*(n-1)^4+(1/6)*[ -(1/2)+(1/2)*I*sqrt(3)]^(n-1)+(1/6)*I*sqrt(3)*[ -(1/2)-(1/2)*I*sqrt(3)]^(n-1), with n>=0 and I=sqrt(-1) [From Paolo P. Lava (ppl(AT)spl.at), Dec 19 2008]
|
|
MATHEMATICA
|
k0=k1=0; lst={k0, k1}; Do[kt=k1; k1=n^4-k1-k0; k0=kt; AppendTo[lst, k1], {n, 1, 4!}]; lst
|
|
CROSSREFS
|
Cf. A152728, A152725, A152726, A000212
Sequence in context: A147858 A005917 A027455 this_sequence A055268 A090026 A027526
Adjacent sequences: A152726 A152727 A152728 this_sequence A152730 A152731 A152732
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 11 2008
|
|
|
Search completed in 0.002 seconds
|
