A165568 -id:A165568 - cp's OEIS frontend

A171733 a(2n)=A165568(n). a(2n+1)=A165563(n).

-1, 1, 1, 7, 31, 41, 137, 151, 391, 409, 889, 911, 1751, 1777, 3121, 3151, 5167, 5201, 8081, 8119, 12079, 12121, 17401, 17447, 24311, 24361, 33097, 33151, 44071, 44129, 57569, 57631, 73951, 74017, 93601, 93671, 116927, 117001, 144361, 144439, 176359, 176441, 213401, 213487, 255991

Offset: 0

Paul Curtz, Dec 17 2009

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

Cf. A035287.

A171733(n)=if( bittest(n,0), n, -1-n) +(n\=2)^2 +2*n^3 +n^4

a(n) = n^3/8 +n^2/16 -15/32 +n^4/16 +(-1)^n*( n^3/8+3*n^2/16-n-17/32 ).
G.f.: ( 1-2*x-4*x^2+2*x^3-18*x^4+2*x^5-4*x^6-2*x^7+x^8 ) / ( (1+x)^4*(-1+x)^5 ).
a(n)= +a(n-1) +4*a(n-2) -4*a(n-3) -6*a(n-4) +6*a(n-5) +4*a(n-6) -4*a(n-7) -a(n-8) +a(n-9).

A171677 Period 9:repeat 7,5,7,4,2,4,1,8,1.

Original entry on oeis.org

7, 5, 7, 4, 2, 4, 1, 8, 1, 7, 5, 7, 4, 2, 4, 1, 8, 1, 7, 5, 7, 4, 2, 4, 1, 8, 1, 7, 5, 7, 4, 2, 4, 1, 8, 1, 7, 5, 7, 4, 2, 4, 1, 8, 1, 7, 5, 7, 4, 2, 4, 1, 8, 1, 7, 5, 7, 4, 2, 4, 1, 8, 1, 7, 5, 7, 4, 2, 4, 1, 8, 1, 7, 5, 7, 4, 2, 4, 1, 8, 1, 7, 5, 7, 4, 2, 4, 1, 8, 1

Offset: 0

Paul Curtz, Dec 15 2009

Represents also the decimal expansion of 252474727/333333333.

Contains the same set of numbers as A141425.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,1)

Cf. A165568.

PadRight[{},80,{7,5,7,4,2,4,1,8,1}] (* Harvey P. Dale, Aug 27 2019 *)

a(n) = A165563(n+1) mod 9.

G.f.: ( -7-5*x-7*x^2-4*x^3-2*x^4-4*x^5-x^6-8*x^7-x^8 ) / ( (x-1) *(1+x+x^2) *(x^6+x^3+1) ). - R. J. Mathar, Mar 08 2011

More terms from Jinyuan Wang, Feb 26 2020

cp's OEIS Frontend

A171733 a(2n)=A165568(n). a(2n+1)=A165563(n).

Views

Author

Keywords

Links

Crossrefs

Programs

PARI

Formula