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A113763 Non-multiples of 13, or numbers not divisible by 13. 5
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Cf. A011760 (Elevator buttons in U.S.A).

Cf. A023806 (all digits in base 12 are different).

Complement of A008595. - Reinhard Zumkeller, Apr 26 2011

LINKS

Table of n, a(n) for n=1..72.

Eric Weisstein's World of Mathematics, Triskaidekaphobia

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

FORMULA

a(n) = n+floor((2n-1)/24) = n+quotient(2n-1, 24)

MATHEMATICA

Table[n+Quotient[2n-1, 24], {n, 1, 85}]; (* or *)Table[n+Floor[(2n-1)/24], {n, 1, 85}]

PROG

(Sage) [i for i in range(80) if gcd(13, i) == 1] - Zerinvary Lajos, Apr 21 2009

(PARI) a(n)=(26*n-1)\24 \\ Charles R Greathouse IV, Jun 08 2015

CROSSREFS

Cf. A011760, A023806.

Sequence in context: A252474 A172270 A023806 * A322847 A302492 A023754

Adjacent sequences:  A113760 A113761 A113762 * A113764 A113765 A113766

KEYWORD

nonn,easy

AUTHOR

Zak Seidov, Jan 18 2006

STATUS

approved

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Last modified January 20 19:53 EST 2020. Contains 331096 sequences. (Running on oeis4.)