login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A074511 a(n) = 1^n + 4^n + 5^n. 0
3, 10, 42, 190, 882, 4150, 19722, 94510, 456162, 2215270, 10814202, 53022430, 260917842, 1287811990, 6371951082, 31591319950, 156882857922, 780119322310, 3883416742362, 19348364235070, 96466943268402, 481235204714230 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..21.

Index entries for linear recurrences with constant coefficients, signature (10,-29,20).

FORMULA

From Mohammad K. Azarian, Dec 26 2008: (Start)

G.f.: 1/(1-x) + 1/(1-4*x) + 1/(1-5*x).

E.g.f.: e^x + e^(4*x) + e^(5*x). (End)

a(n) = 9*a(n-1) - 20*a(n-2) + 12 with a(0)=3, a(1)=10. - Vincenzo Librandi, Jul 21 2010

MATHEMATICA

Table[1^n + 4^n + 5^n, {n, 0, 21}]

CROSSREFS

Cf. A001550, A001576, A034513, A001579, A074501..A074580.

Sequence in context: A149059 A129878 A094558 * A000249 A107594 A094195

Adjacent sequences:  A074508 A074509 A074510 * A074512 A074513 A074514

KEYWORD

easy,nonn

AUTHOR

Robert G. Wilson v, Aug 23 2002

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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 19 19:30 EST 2020. Contains 332047 sequences. (Running on oeis4.)