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 A265236 Number of solutions to the equation A x B = C, where A, B and C are nonnegative numbers appearing as (contiguous) substrings of the binary representation of n. 4
 1, 1, 8, 3, 13, 12, 18, 5, 19, 17, 18, 20, 31, 26, 28, 7, 26, 23, 23, 26, 31, 22, 32, 28, 47, 40, 38, 34, 49, 40, 38, 9, 34, 30, 29, 31, 31, 31, 38, 34, 47, 39, 28, 34, 53, 40, 46, 38, 66, 55, 54, 48, 59, 46, 46, 48, 75, 62, 58, 52, 67, 58, 48, 11, 43, 38 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS A, B and C are allowed to be zero, in contrast to A265008; a(A000225(n)) = A265008(A000225(n)); a(A062289(n)) != A265008(A062289(n)). LINKS Reinhard Zumkeller, Table of n, a(n) for n = 0..10000 FORMULA For n > 0: a(n) = A265008(n) + A043545(n) * (2*A078822(n) - 1). EXAMPLE .  n | A007088 | A119709     |  a | . ---+---------+-------------+----+------------------------------------- .  2 |      10 | [0,1,2]     |  8 = #{(0,0,0), (0,1,0), (0,2,0), (1,0,0), .    |         |             |        (2,0,0), (1,1,1), (1,2,2), (2,1,2)} .  3 |      11 | [1,3]       |  3 = #{(1,1,1), (1,3,3), (3,1,3)} .  4 |     100 | [0,1,2,4]   | 13 = #{(0,0,0), (0,1,0), (0,2,0), (0,4,0), .    |         |             |         (1,0,0), (2,0,0), (4,0,0), (1,1,1), .    |         |             |         (1,2,2), (2,1,2), (1,4,4), (2,2,4), .    |         |             |         (4,1,4)} .  5 |     101 | [0,1,2,5]   | 12 = #{(0,0,0), (0,1,0), (0,2,0), (0,5,0), .    |         |             |         (1,0,0), (2,0,0), (5,0,0), (1,1,1), .    |         |             |         (1,2,2), (2,1,2), (1,5,5), (5,1,5)} .  6 |     110 | [0,1,2,3,6] | 18 = #{(0,0,0), (0,1,0), (0,2,0), (0,3,0), .    |         |             |         (0,6,0), (1,0,0), (2,0,0), (3,0,0), .    |         |             |         (6,0,0), (1,1,1), (1,2,2), (2,1,2), .    |         |             |         (1,3,3), (3,1,3), (1,6,6), (2,3,6), .    |         |             |         (3,2,6), (6,1,6)} .  7 |     111 | [1,3,7]     |≈ 5 = #{(1,1,1), (1,3,3), (3,1,3), (1,7,7), .    |         |             |         (7,1,7)} . PROG (Haskell) a265236 n = length [() | let cs = a119709_row n, a <- cs, b <- cs, c <- cs,                          a * b == c || c == 0 && a * b == 0] CROSSREFS Cf. A007088, A119709, A265008, A265183 (decimal case), A000225, A062289, A043545, A078822. Sequence in context: A069200 A069218 A248295 * A286568 A070608 A070486 Adjacent sequences:  A265233 A265234 A265235 * A265237 A265238 A265239 KEYWORD nonn AUTHOR Reinhard Zumkeller, Dec 06 2015 EXTENSIONS Suggested by N. J. A. Sloane. STATUS approved

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Last modified July 5 14:54 EDT 2022. Contains 355099 sequences. (Running on oeis4.)