A116320
n times n+8 gives the concatenation of two numbers m and m+4.
Original entry on oeis.org
4, 86, 32762, 67231, 76322, 693956, 900097, 7295105, 9068525, 3664355432, 6335644561, 8015841979, 8419801579, 9900000997, 3252382148828, 6747617851165, 7253863787097, 9474890578438, 9981136514370
Offset: 1
-
Res:= NULL: count:= 0:
for d from 1 while count < 100 do
R:= sort(select(t -> t^2 + 8*t - 4 > 10^(2*d-1) and t^2+8*t-4 < 10^(2*d), map(t -> rhs(op(t)), [msolve(n^2+8*n-4, 10^d+1)])));
count := count+nops(R);
Res:= Res, op(R);
od:
Res; # Robert Israel, Jun 20 2018
A116181
Numbers k such that k concatenated with k+3 gives the product of two numbers which differ by 8.
Original entry on oeis.org
57, 1062, 4545, 9517, 65040816823705919148274557212824575357, 73854453524198329292125744115286819630, 78444109191135472482770868099397646205
Offset: 1
9517//9520 = 9752 * 9760, where // denotes concatenation.
A116305
Numbers k such that k*(k+8) gives the concatenation of two numbers m and m+2.
Original entry on oeis.org
3377, 6616, 7027, 49941473, 50058520, 97000297, 785321170880, 799019801017, 989301366860, 997000002997, 4044997109223941, 4136014586911892, 4248535260473901, 4366325506691845, 4457342984379796, 5542657015620197
Offset: 1
97000297 * 97000305 = 94090583//94090585, where // denotes concatenation.
A116311
Numbers k such that k*(k+7) gives the concatenation of two numbers m and m+3.
Original entry on oeis.org
8445, 8810, 69125298546226023971, 69855225553525294044, 74604750601020544519, 75334677608319814592, 92496418993920707746, 93226346001219977819, 97975871048715228294, 98705798056014498367
Offset: 1
8810 * 8817 = 7767//7770, where // denotes concatenation.
A116313
n times n+9 gives the concatenation of two numbers m and m+3.
Original entry on oeis.org
3, 38569, 61423, 88696, 3686022, 6313970, 7223061, 84319381, 98033553, 345087246071675410527410, 403910775483440116409763, 596089224516559883590229, 654912753928324589472582
Offset: 1
98033553 * 98033562 = 96105783//96105786, where // denotes
concatenation.
Showing 1-5 of 5 results.
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