login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A254364 a(n) = 3*4^n + 10*2^n + 6*3^n + 5^n + 15. 9
35, 70, 182, 574, 2054, 7990, 32942, 141694, 629174, 2862790, 13275902, 62494414, 297701894, 1431677590, 6937683662, 33825224734, 165731728214, 815255212390, 4023182840222, 19905098860654, 98686897716134, 490094080827190, 2437150677449582 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
This is the sequence of fifth terms of "third partial sums of m-th powers".
LINKS
Luciano Ancora, Demonstration of formulas, page 2.
FORMULA
G.f.: -(2754*x^4-4081*x^3+2107*x^2-455*x+35) / ((x-1)*(2*x-1)*(3*x-1)*(4*x-1)*(5*x-1)). - Colin Barker, Jan 30 2015
a(n) = 15*a(n-1) -85*a(n-2) +225*a(n-3) -274*a(n-4) +120*a(n-5). - Colin Barker, Jan 30 2015
MATHEMATICA
Table[3 4^n + 10 2^n + 6 3^n + 5^n + 15, {n, 0, 30}] (* Bruno Berselli, Jan 30 2015 *)
LinearRecurrence[{15, -85, 225, -274, 120}, {35, 70, 182, 574, 2054}, 30] (* Harvey P. Dale, Aug 11 2016 *)
PROG
(PARI) vector(30, n, n--; 3*4^n + 10*2^n + 6*3^n + 5^n + 15) \\ Colin Barker, Jan 30 2015
CROSSREFS
Sequence in context: A267330 A353175 A229357 * A146207 A135802 A043390
KEYWORD
nonn,easy
AUTHOR
Luciano Ancora, Jan 29 2015
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 19 12:14 EDT 2024. Contains 371792 sequences. (Running on oeis4.)