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 A280164 Number of integer pairs (k, b) such that n and k*n are anagrams in base-b (k > 1). 1
 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 3, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 5, 0, 1, 0, 1, 2, 0, 0, 6, 0, 0, 1, 1, 0, 0, 2, 4, 2, 0, 0, 3, 0, 0, 1, 1, 2, 3, 0, 1, 1, 2, 0, 5, 0, 0, 3, 2, 2, 2, 0, 5, 0, 0, 0, 6, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,21 COMMENTS (b-1) divides n*(k-1) for all (k, b). 1, 2, ... first appear at 8, 21, 24, 56, 40, 48, 96, 144, 432, 120, 264, 168, 360, 312, 336, 560, 240 respectively. LINKS Peter Kagey, Table of n, a(n) for n = 1..2000 EXAMPLE For a(21) = 2 the anagrams are:   (1) 21 and 2*21 in base 8 (i.e. 25_8 and 52_8);   (2) 21 and 5*21 in base 13. For a(40) = 5 the anagrams are:   (1) 40 and  2*40 in base 5 (i.e. 130_5 and 310_5);   (2) 40 and  2*40 in base 11;   (3) 40 and 10*40 in base 21;   (4) 40 and  8*40 in base 29;   (5) 40 and  7*40 in base 31. CROSSREFS Cf. A279689, A279963. Sequence in context: A259481 A132825 A259480 * A049597 A210951 A233440 Adjacent sequences:  A280161 A280162 A280163 * A280165 A280166 A280167 KEYWORD nonn,base AUTHOR Peter Kagey, Dec 27 2016 STATUS approved

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Last modified March 21 01:18 EDT 2019. Contains 321356 sequences. (Running on oeis4.)