A136614 -id:A136614 - cp's OEIS frontend

A108773 Concatenation of n and the sum of the digits of n.

0, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 112, 123, 134, 145, 156, 167, 178, 189, 1910, 202, 213, 224, 235, 246, 257, 268, 279, 2810, 2911, 303, 314, 325, 336, 347, 358, 369, 3710, 3811, 3912, 404, 415, 426, 437, 448, 459, 4610, 4711, 4812, 4913, 505, 516, 527

Offset: 0

N. J. A. Sloane, Jun 26 2005

A136614(n) = A007953(a(n)) = A007953(A136613(n)). - Reinhard Zumkeller, Jan 13 2008

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

Cf. A108203, A062028, A064806.

Cf. A007953.

f[n_] := FromDigits[ Join[ IntegerDigits[n], IntegerDigits[Plus @@ IntegerDigits[n]]]]; Table[ f[n], {n, 0, 52}] (* Robert G. Wilson v, Jun 28 2005 *)

a(n) = eval(concat(Str(n), Str(sumdigits(n)))); \\ Michel Marcus, Nov 12 2023

More terms from Robert G. Wilson v, Jun 28 2005

A136613 Concatenation of (sum of digits of n) and n.

Original entry on oeis.org

0, 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 211, 312, 413, 514, 615, 716, 817, 918, 1019, 220, 321, 422, 523, 624, 725, 826, 927, 1028, 1129, 330, 431, 532, 633, 734, 835, 936, 1037, 1138, 1239, 440, 541, 642, 743, 844, 945, 1046, 1147, 1248, 1349, 550, 651, 752

Offset: 0

Reinhard Zumkeller, Jan 13 2008

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

Cf. A007953, A108773, A136614.

a[n_]:=FromDigits[Join[{DigitSum[n]},IntegerDigits[n]]] (* James C. McMahon, May 06 2025 *)

A136614(n) = A007953(a(n)) = A007953(A108773(n)).

A173639 Numbers n such that the sum of the digits of 11*n is odd.

Original entry on oeis.org

19, 28, 29, 37, 38, 39, 46, 47, 48, 49, 55, 56, 57, 58, 59, 64, 65, 66, 67, 68, 69, 73, 74, 75, 76, 77, 78, 79, 82, 83, 84, 85, 86, 87, 88, 89, 119, 128, 129, 137, 138, 139, 146, 147, 148, 149

Offset: 1

David Radcliffe, Nov 23 2010

Note that the first 18 multiples of 11 have even digital sums.
Indices of odd entries in A136614. - R. J. Mathar, Nov 23 2010
a(n) = A075517(n+9) = A248013(n+10) for n <= 36. - Giovanni Resta, Sep 04 2017

			19 is on the list because 11*19 = 209 and 2+0+9 is odd.

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Cf. A008593, A007953.

a173639 n = a173639_list !! (n-1)
a173639_list = filter (odd . a007953 . (* 11)) [0..]
-- Reinhard Zumkeller, Jul 05 2014

L := []; for n to 150 do if `mod`(add(i, i = convert(11*n, base, 10)), 2) = 1 then L := [op(L), n] end if end do; L;

Select[Range[200],OddQ[Total[IntegerDigits[11#]]]&] (* Harvey P. Dale, May 28 2012 *)

ans = []
for n in range(1,151):
    N,s = 11*n,0
    while N:
        s += N % 10
        N //= 10
    if s % 2:
        ans.append(n)
print(ans)

A245627 Base 10 digit sum of 11*n.

Original entry on oeis.org

0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 2, 4, 6, 8, 10, 12, 14, 16, 18, 11, 4, 6, 8, 10, 12, 14, 16, 18, 11, 13, 6, 8, 10, 12, 14, 16, 18, 11, 13, 15, 8, 10, 12, 14, 16, 18, 11, 13, 15, 17, 10, 12, 14, 16, 18, 11, 13, 15, 17, 19, 12, 14, 16, 18, 11, 13, 15, 17, 19, 21, 14, 16, 18, 11, 13, 15, 17, 19, 21, 23, 16, 18, 11, 13, 15, 17, 19, 21, 23, 25, 18, 2

Offset: 0

Alonso del Arte, Jul 27 2014

First term that differs from A136614 is a(91) = 2, compared to A136614(91) = 11.

			a(90) = 18 because 11 * 90 = 990 and 9 + 9 + 0 = 18.
a(91) = 2 because 11 * 91 = 1001 and 1 + 0 + 0 + 1 = 2.

Robert Israel, Table of n, a(n) for n = 0..10000

Cf. A008593, A007953.

a:= n -> convert(convert(11*n,base,10),`+`):
seq(a(n),n=0..100); # Robert Israel, Aug 01 2014

Table[Plus@@IntegerDigits[11n], {n, 0, 99}]

a(n) = sumdigits(11*n); \\ Michel Marcus, Aug 03 2014

a(n) = A007953(A008593(n)). - Tom Edgar, Jul 27 2014

cp's OEIS Frontend

A108773 Concatenation of n and the sum of the digits of n.

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A136613 Concatenation of (sum of digits of n) and n.

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A173639 Numbers n such that the sum of the digits of 11*n is odd.

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A245627 Base 10 digit sum of 11*n.

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Maple

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