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A116333 k times k+8 gives the concatenation of two numbers m and m+6. 6
23, 70, 480, 513, 942, 76303, 8923139715521228493004072379869, 77558981961505761619171327422086381910161500424346805, 4494071669430455134012149964165405936125116123191254722256003057119, 5505928330569544865987850035834594063874883876808745277743996942874 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
EXAMPLE
76303 * 76311 = 58227//58233, where // denotes concatenation, so 76303 is a term.
PROG
(Python)
from itertools import count, islice
from sympy import sqrt_mod
def A116333_gen(): # generator of terms
for j in count(0):
b = 10**j
a = b*10+1
for k in sorted(sqrt_mod(22, a, all_roots=True)):
if a*(b-6) <= k**2-22 < a*(a-7) and k>4:
yield k-4
A116333_list = list(islice(A116333_gen(), 10)) # Chai Wah Wu, Feb 21 2024
CROSSREFS
Sequence in context: A042036 A042034 A042038 * A042040 A073035 A086104
KEYWORD
nonn,base
AUTHOR
Giovanni Resta, Feb 06 2006
EXTENSIONS
a(8)-a(10) from Chai Wah Wu, Feb 21 2024
STATUS
approved

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Last modified June 13 22:21 EDT 2024. Contains 373391 sequences. (Running on oeis4.)