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A274612 Numbers not divisible by 10 with at least one zero but no two adjacent 0's among its decimal digits. 1
101, 102, 103, 104, 105, 106, 107, 108, 109, 201, 202, 203, 204, 205, 206, 207, 208, 209, 301, 302, 303, 304, 305, 306, 307, 308, 309, 401, 402, 403, 404, 405, 406, 407, 408, 409, 501, 502, 503, 504, 505, 506, 507, 508, 509, 601, 602, 603, 604, 605, 606, 607, 608, 609, 701, 702, 703, 704, 705, 706, 707, 708, 709, 801, 802, 803, 804, 805, 806, 807, 808, 809, 901, 902, 903, 904, 905, 906, 907, 908, 909, 1011 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
EXAMPLE
101 is a term because 101 = 101 + (1^0 * 0^1);
1010 is a term because 1010 = 1010 + (1^0 * 0^1 * 1^0 ).
MAPLE
filter:= proc(n) local L;
L:= [ListTools:-SearchAll(0, convert(n, base, 10))];
nops(L) >= 1 and L[1]<>1 and not has(L[2..-1]-L[1..-2], 1)
end proc:
select(filter, [$1..10000]); # Robert Israel, Jul 24 2016
MATHEMATICA
AA = Table[(Product[(Mod[(Floor[f/10^n]), 10])^(Mod[(Floor[f/10^(n - 1)]), 10]), {n, 1, Floor[Log[10, f]]}]), {f, 1, 1200}]
BB = Table[n, {n, 1, 1200}]
Position[(AA + BB) - BB, 0]
PROG
(PARI) is(n)=n%10 && vecmin(digits(n))==0 && vecmin(digits(n, 100)) && vecmin(digits(n\10, 100)) \\ Charles R Greathouse IV, Jul 18 2016
CROSSREFS
Sequence in context: A296883 A183086 A134808 * A261448 A213312 A261021
KEYWORD
base,easy,nonn,less
AUTHOR
STATUS
approved

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Last modified May 22 06:48 EDT 2024. Contains 372743 sequences. (Running on oeis4.)