A053794 - OEIS

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A053794

a(n) = (n^2 + n) modulo 8.

1

0, 2, 6, 4, 4, 6, 2, 0, 0, 2, 6, 4, 4, 6, 2, 0, 0, 2, 6, 4, 4, 6, 2, 0, 0, 2, 6, 4, 4, 6, 2, 0, 0, 2, 6, 4, 4, 6, 2, 0, 0, 2, 6, 4, 4, 6, 2, 0, 0, 2, 6, 4, 4, 6, 2, 0, 0, 2, 6, 4, 4, 6, 2, 0, 0, 2, 6, 4, 4, 6, 2, 0, 0, 2, 6, 4, 4, 6, 2, 0, 0, 2, 6, 4, 4, 6, 2, 0, 0, 2, 6, 4, 4, 6, 2, 0, 0, 2, 6, 4, 4, 6, 2, 0

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OFFSET

0,2

COMMENTS

Periodic with period 8.

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..8191

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

FORMULA

From Wesley Ivan Hurt, Jun 22 2022: (Start)

a(n) = 2*A105198(n).

a(n) = a(n-1)-a(n-2)+a(n-3)-a(n-4)+a(n-5)-a(n-6)+a(n-7). (End)

MATHEMATICA

PadRight[{}, 105, {0, 2, 6, 4, 4, 6, 2, 0}] (* Michael De Vlieger, Jun 22 2022 *)

PROG

(PARI) A053794(n)=[0, 2, 6, 4, 4, 6, 2, 0][n%8+1] \\ M. F. Hasler, Aug 27 2012

(Scheme) (define (A053794 n) (modulo (+ (* n n) n) 8)) ;; Antti Karttunen, Aug 10 2017

CROSSREFS

Cf. A053793, A105198.

Sequence in context: A187817 A276678 A276680 * A249913 A003077 A323482

Adjacent sequences: A053791 A053792 A053793 * A053795 A053796 A053797

KEYWORD

nonn,easy

AUTHOR

Stuart M. Ellerstein (ellerstein(AT)aol.com), Mar 27 2000

EXTENSIONS

More terms from James A. Sellers, Apr 08 2000

Extended to n=103 by Antti Karttunen, Aug 10 2017

STATUS

approved