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A305670 Numbers k not ending in zero that are a substring of k*(k+1). 3
9, 99, 146, 999, 3701, 8881, 9999, 10512, 13088, 13271, 13466, 15625, 49547, 50502, 60146, 73398, 85941, 99999, 155613, 205062, 513335, 712539, 999999, 1005012, 1060146, 1334666, 3990487, 5005002, 9999999, 20050062, 26930824, 39341318, 46022544, 58331666, 63116013 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
A002283 is a subset of this sequence.
Contains 5*10^(2*m)+5*10^m+2 and 2*10^(2*m+1)+5*10^(m+1)+62 for m >= 2. - Robert Israel, Jun 29 2018
LINKS
EXAMPLE
13088 * 13089 = 171308832;
13271 * 13272 = 176132712.
MAPLE
P:=proc(q) local k, n; for n from 1 to q do if n mod 10>0 then
for k from 1 to ilog10(n*(n+1))-ilog10(n)+1 do
if n=trunc(n*(n+1)/10^(k-1)) mod 10^(ilog10(n)+1) then print(n);
break; fi; od; fi; od; end: P(10^8);
CROSSREFS
Sequence in context: A306567 A061817 A083835 * A045644 A116136 A139280
KEYWORD
nonn,base
AUTHOR
Paolo P. Lava, Jun 28 2018
EXTENSIONS
Edited by Robert Israel, Jun 29 2018
STATUS
approved

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Last modified February 25 06:24 EST 2024. Contains 370310 sequences. (Running on oeis4.)