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A193772 Nonnegative integers whose digital difference is 0. 1
0, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 110, 202, 211, 220, 303, 312, 321, 330, 404, 413, 422, 431, 440, 505, 514, 523, 532, 541, 550, 606, 615, 624, 633, 642, 651, 660, 707, 716, 725, 734, 743, 752, 761, 770, 808, 817, 826, 835, 844, 853, 862, 871, 880 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The subsequence of multiples of 11 begins: 0, 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 220, 330, 440...

The subsequence of primes begins: 11, 101, 211, 431, 523, 541, 743, 761, 853, ... (see A156307).

REFERENCES

Cf. A040997, A007953, A156307.

LINKS

Table of n, a(n) for n=1..54.

FORMULA

If decimal expansion of n is x1 x2 ... xk then x1 - x2 - ... - xk = 0.

MATHEMATICA

fQ[n_] := Module[{d = IntegerDigits[n]}, d[[1]] == Total[Rest[d]]]; Select[Range[0, 1000], fQ] (* T. D. Noe, Jan 02 2013 *)

CROSSREFS

Sequence in context: A065571 A064544 A083967 * A178359 A108203 A308104

Adjacent sequences:  A193769 A193770 A193771 * A193773 A193774 A193775

KEYWORD

nonn,base

AUTHOR

Dario Piazzalunga, Jan 02 2013

EXTENSIONS

Definition edited by Michel Marcus, Oct 26 2014

STATUS

approved

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Last modified January 24 13:24 EST 2020. Contains 331193 sequences. (Running on oeis4.)