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!)
A131478 a(n) = ceiling(n^4/4). 2
0, 1, 4, 21, 64, 157, 324, 601, 1024, 1641, 2500, 3661, 5184, 7141, 9604, 12657, 16384, 20881, 26244, 32581, 40000, 48621, 58564, 69961, 82944, 97657, 114244, 132861, 153664, 176821, 202500, 230881, 262144, 296481, 334084, 375157 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (4,-5,0,5,-4,1).

FORMULA

From R. J. Mathar, Dec 19 2008: (Start)

G.f.: x*(1 + 10*x^2 + x^4)/((1 - x)^5*(1 + x)).

a(n) + a(n+1) = A058919(n+1). (End)

a(n) = floor(n^4/4 + 3/4). - Bruno Berselli, Dec 21 2017

MATHEMATICA

Ceiling[Range[0, 40]^4/4] (* Harvey P. Dale, May 17 2019 *)

PROG

(MAGMA) [Ceiling(n^4/4) : n in [0..50]]; // Vincenzo Librandi, Oct 01 2011

(PARI) vector(50, n, n--; ceil(n^4/4)) \\ Michel Marcus, Jun 16 2015

CROSSREFS

Cf. A000982, A008619, A004526, A007590, A036487.

Cf. A131479.

Sequence in context: A332981 A135559 A254449 * A089893 A212246 A095668

Adjacent sequences:  A131475 A131476 A131477 * A131479 A131480 A131481

KEYWORD

nonn,easy

AUTHOR

Mohammad K. Azarian, Jul 27 2007

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 June 14 10:02 EDT 2021. Contains 345025 sequences. (Running on oeis4.)