|
| |
|
|
A014166
|
|
Apply partial sum operator 4 times to Fibonacci numbers.
|
|
9
| |
|
|
0, 1, 5, 16, 41, 92, 189, 365, 674, 1204, 2098, 3588, 6050, 10093, 16703, 27476, 44995, 73440, 119575, 194345, 315460, 511576, 829060, 1342936, 2174596, 3520457, 5698329, 9222440, 14924829, 24151764, 39081553
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
FORMULA
| (1/6) [6Fib(n+8) - (n^3+12n^2+59n+126) ]. G.f.: x/[(1-x)^4(1-x-x^2)].
a(n)=Sum_{k=1..n}{C(n-k+4,k+3)}, with n>=0 - Paolo P. Lava (paoloplava(AT)gmail.com), Apr 16 2008
|
|
|
MATHEMATICA
| lst={}; s0=s1=s2=s3=0; Do[s0+=a[n]; s1+=s0; s2+=s1; s3+=s2; AppendTo[lst, s3], {n, 0, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 10 2008]
|
|
|
CROSSREFS
| Cf. A000045.
Right-hand column 8 of triangle A011794.
Sequence in context: A081997 A078449 A014161 * A014171 A014175 A097810
Adjacent sequences: A014163 A014164 A014165 * A014167 A014168 A014169
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
