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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A276071 n^3 followed by n^2 followed by n^4 followed by n. 1
0, 0, 0, 0, 1, 1, 1, 1, 8, 4, 16, 2, 27, 9, 81, 3, 64, 16, 256, 4, 125, 25, 625, 5, 216, 36, 1296, 6, 343, 49, 2401, 7, 512, 64, 4096, 8, 729, 81, 6561, 9, 1000, 100, 10000, 10, 1331, 121, 14641, 11, 1728, 144, 20736, 12, 2197, 169, 28561, 13, 2744, 196, 38416, 14, 3375, 225, 50625, 15 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,9

LINKS

Colin Barker, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (0,0,0,5,0,0,0,-10,0,0,0,10,0,0,0,-5,0,0,0,1).

FORMULA

a(n) = (2*n - 3 + (-1)^n + 2*(-1)^((2*n - 1 + (-1)^n)/4))*(n^3 - 2*n^2 + 28*n + 40 + (n^3 - 2*n^2 - 4*n - 56)*(-1)^n - (n^3 - 10*n^2 - 4*n + 72)*(-1)^((2*n - 1 + (-1)^n)/4) - (n^3 - 10*n^2 + 28*n - 88)*(-1)^((2*n + 1 - (-1)^n)/4))/2048.

G.f.: x^4*(1 + x + x^2 + x^3 + 3*x^4 - x^5 + 11*x^6 - 3*x^7 - 3*x^8 - x^9 + 11*x^10 + 3*x^11 - x^12 + x^13 + x^14 - x^15)/((1 - x)^5*(1 + x)^5*(1 + x^2)^5). - Colin Barker, Aug 18 2016

EXAMPLE

Rectangular array with four columns begins:

.   0,  0,    0, 0;

.   1,  1,    1, 1;

.   8,  4,   16, 2;

.  27,  9,   81, 3;

.  64, 16,  256, 4;

. 125, 25,  625, 5;

. 216, 36, 1296, 6; ...

MATHEMATICA

Flatten[Table[{n^3, n^2, n^4, n}, {n, 0, 20}]] (* Bruno Berselli, Aug 21 2016 *)

PROG

(PARI) concat(vector(4), Vec(x^4*(1+x+x^2+x^3+3*x^4-x^5+11*x^6-3*x^7-3*x^8-x^9+11*x^10+3*x^11-x^12+x^13+x^14-x^15) / ((1-x)^5*(1+x)^5*(1+x^2)^5) + O(x^60))) \\ Colin Barker, Aug 18 2016

(MAGMA) &cat[[n^3, n^2, n^4, n]: n in [0..20]]; // Bruno Berselli, Aug 21 2016

CROSSREFS

Cf. A110009.

Sequence in context: A203072 A131873 A220130 * A040059 A178603 A018810

Adjacent sequences:  A276068 A276069 A276070 * A276072 A276073 A276074

KEYWORD

nonn,easy,tabf

AUTHOR

Luce ETIENNE, Aug 18 2016

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 April 23 18:15 EDT 2019. Contains 322387 sequences. (Running on oeis4.)