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A094677 Sum of digits is divisible by 10. 4
19, 28, 37, 46, 55, 64, 73, 82, 91, 109, 118, 127, 136, 145, 154, 163, 172, 181, 190, 208, 217, 226, 235, 244, 253, 262, 271, 280, 299, 307, 316, 325, 334, 343, 352, 361, 370, 389, 398, 406, 415, 424, 433, 442, 451, 460, 479, 488, 497, 505, 514, 523, 532, 541 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n) = A052224(n) for n = 1..28. - Reinhard Zumkeller, Nov 08 2015

A syndetic set: a(n+1) - a(n) <= 19. (This gap size occurs infinitely often.) - Charles R Greathouse IV, Oct 13 2022

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

FORMULA

a(n)=10n+r(n) where r(n) takes values in {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

EXAMPLE

G.f. = 19*x + 28*x^2 + 37*x^3 + 46*x^4 + 55*x^5 + 64*x^6 + 73*x^7 + 82*x^8 + ... - Michael Somos, Jun 09 2019

MATHEMATICA

a[ n_] := If[ n < 1, 0, 10 n + Mod[-Total@IntegerDigits[n], 10]]; (* Michael Somos, Jun 09 2019 *)

PROG

(PARI) isok(n) = !(sumdigits(n) % 10); \\ Michel Marcus, Dec 07 2013

(PARI) {a(n) = if( n<1, 0, 10*n + (-sumdigits(n))%10)}; /* Michael Somos, Jun 09 2019 */

(Haskell)

a094677 n = a094677_list !! (n-1)

a094677_list = filter ((== 0) . flip mod 10 . a007953) [1..]

-- Reinhard Zumkeller, Nov 08 2015

CROSSREFS

Cf. A007953, A052224.

Sequence in context: A067777 A065207 A084364 * A052224 A179955 A243994

Adjacent sequences: A094674 A094675 A094676 * A094678 A094679 A094680

KEYWORD

base,nonn,easy

AUTHOR

Benoit Cloitre, Jun 07 2004

STATUS

approved

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Last modified December 6 10:23 EST 2022. Contains 358630 sequences. (Running on oeis4.)