login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A244727 a(n) = 7*n^3. 2
0, 7, 56, 189, 448, 875, 1512, 2401, 3584, 5103, 7000, 9317, 12096, 15379, 19208, 23625, 28672, 34391, 40824, 48013, 56000, 64827, 74536, 85169, 96768, 109375, 123032, 137781, 153664, 170723, 189000, 208537, 229376, 251559, 275128, 300125, 326592, 354571 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

After 0, subsequence of A038855.

Volume of a truncated square pyramid with base lengths n and 2n, and height 3n. - Wesley Ivan Hurt, Apr 05 2016

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

FORMULA

G.f.: 7*x*(1 + 4*x + x^2)/(1 - x)^4.

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>3.

MAPLE

A244727:=n->7*n^3: seq(A244727(n), n=0..100); # Wesley Ivan Hurt, Apr 05 2016

MATHEMATICA

Table[7 n^3, {n, 0, 40}] (* or *) CoefficientList[Series[7 x (1 + 4 x + x^2)/(1 - x)^4, {x, 0, 40}], x]

7 Range[0, 50]^3 (* Wesley Ivan Hurt, Apr 05 2016 *)

PROG

(MAGMA) [7*n^3: n in [0..40]] /* or */ I:=[0, 7, 56, 189]; [n le 4 select I[n] else 4*Self(n-1)-6*Self(n-2)+4*Self(n-3)-Self(n-4): n in [1..40]];

CROSSREFS

Cf. A038855.

Cf. similar sequences listed in A244725.

Sequence in context: A043911 A044526 A153797 * A090224 A237647 A047664

Adjacent sequences:  A244724 A244725 A244726 * A244728 A244729 A244730

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Jul 05 2014

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 August 22 08:41 EDT 2019. Contains 326173 sequences. (Running on oeis4.)