A116341
k times k+8 gives the concatenation of two numbers m and m+7.
Original entry on oeis.org
82, 314, 679, 756, 952, 965, 3205775326418807415637845823789043451, 3230931606745075612526180113373983267, 3750967203300732832735999247776048870, 6249032796699267167264000752223951123, 6769068393254924387473819886626016726, 6794224673581192584362154176210956542
Offset: 1
965 * 973 = 938//945, where // denotes concatenation, so 965 is a term.
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from itertools import count, islice
from sympy import sqrt_mod
def A116341_gen(): # generator of terms
for j in count(0):
b = 10**j
a = b*10+1
for k in sorted(sqrt_mod(23,a,all_roots=True)):
if a*(b-7) <= k**2-23 < a*(a-8) and k>4:
yield k-4
A116341_list = list(islice(A116341_gen(),20)) # Chai Wah Wu, Feb 21 2024
A116223
Numbers k such that k concatenated with k+9 gives the product of two numbers which differ by 8.
Original entry on oeis.org
136, 399, 600, 744, 8184, 66951, 134199, 401536, 5289264, 12456744, 41868519, 113342199, 115655064, 142598664, 160143051, 206611575, 227626176, 273422475, 297520656, 359785504, 387353899, 435493131, 440015536
Offset: 1
A116353
Numbers k such that k*(k+7) gives the concatenation of two numbers m and m+9.
Original entry on oeis.org
27, 67, 3416102887775247376839416334668636, 3756559953325598880263233435801765, 4313503800489302411917772257282209
Offset: 1
67 * 74 = 49//58, where // denotes concatenation.
A116355
n times n+9 gives the concatenation of two numbers m and m+9.
Original entry on oeis.org
44, 48, 32182682, 32523192, 67476800, 67817310, 35810391829060641485878662, 41417330943216586236893607, 58582669056783413763106385, 64189608170939358514121330, 87098712900990098712901285
Offset: 1
67817310 * 67817319 = 45991881//45991890, where // denotes concatenation.
Showing 1-4 of 4 results.