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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A047494 Numbers that are congruent to {0, 1, 4, 5, 7} mod 8. 1
0, 1, 4, 5, 7, 8, 9, 12, 13, 15, 16, 17, 20, 21, 23, 24, 25, 28, 29, 31, 32, 33, 36, 37, 39, 40, 41, 44, 45, 47, 48, 49, 52, 53, 55, 56, 57, 60, 61, 63, 64, 65, 68, 69, 71, 72, 73, 76, 77, 79, 80, 81, 84, 85, 87, 88, 89, 92, 93, 95, 96, 97, 100, 101, 103 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

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

FORMULA

G.f.: x^2*(x^4+2*x^3+x^2+3*x+1)/((x-1)^2*(x^4+x^3+x^2+x+1)). [Colin Barker, Jun 22 2012]

From Wesley Ivan Hurt, Jul 31 2016: (Start)

a(n) = a(n-1) + a(n-5) - a(n-6) for n > 6, a(n) = a(n-5) + 8 for n > 5.

a(n) = (40*n - 35 - 2*(n mod 5) + 3*((n+1) mod 5) - 7*((n+2) mod 5) + 3*((n+3) mod 5) + 3*((n+4) mod 5))/25.

a(5k) = 8k-1, a(5k-1) = 8k-3, a(5k-2) = 8k-4, a(5k-3) = 8k-7, a(5k-4) = 8k-8. (End)

MAPLE

A047494:=n->8*floor(n/5)+[(0, 1, 4, 5, 7)][(n mod 5)+1]: seq(A047494(n), n=0..100); # Wesley Ivan Hurt, Jul 31 2016

MATHEMATICA

Select[Range[0, 100], MemberQ[{0, 1, 4, 5, 7}, Mod[#, 8]] &] (* Wesley Ivan Hurt, Jul 31 2016 *)

PROG

(MAGMA) [n : n in [0..150] | n mod 8 in [0, 1, 4, 5, 7]]; // Wesley Ivan Hurt, Jul 31 2016

CROSSREFS

Sequence in context: A298874 A266267 A189477 * A080712 A005048 A119642

Adjacent sequences:  A047491 A047492 A047493 * A047495 A047496 A047497

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

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 22:17 EDT 2019. Contains 322388 sequences. (Running on oeis4.)