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 A116196 Numbers k such that k concatenated with k+5 gives the product of two numbers which differ by 8. 5
 68, 12585135, 17104748, 34388975, 41634068, 1100788419388203283323, 1415702077730399453204, 1615864923864298764860, 1993221328488651223275, 3064119854121476750348, 3576300448435797632079, 3890538749986876109435 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..12. EXAMPLE 41634068//41634073 = 64524463 * 64524471, where // denotes concatenation. PROG (Python) from itertools import count, islice from sympy import sqrt_mod def A116196_gen(): # generator of terms for j in count(0): b = 10**j a = b*10+1 for k in sorted(sqrt_mod(21, a, all_roots=True)): if a*(b-5) <= k**2-21 < a*(a-6) and k>4: yield (k**2-21)//a A116196_list = list(islice(A116196_gen(), 10)) # Chai Wah Wu, Feb 21 2024 CROSSREFS Cf. A116189, A116195, A116197, A116202, A116327. Sequence in context: A367529 A203757 A159385 * A292606 A036181 A033389 Adjacent sequences: A116193 A116194 A116195 * A116197 A116198 A116199 KEYWORD nonn,base AUTHOR Giovanni Resta, Feb 06 2006 STATUS approved

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Last modified September 10 16:42 EDT 2024. Contains 375791 sequences. (Running on oeis4.)