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 A080202 Triangle T(b,k) read by rows, giving numbers of pairs of unequal permutations of all the digits 1, ..., k in base b (k
 0, 0, 1, 0, 0, 1, 0, 0, 3, 25, 0, 0, 0, 2, 7, 0, 0, 0, 0, 68, 623, 0, 0, 0, 0, 0, 124, 1183, 0, 0, 0, 0, 0, 0, 2338, 24603, 0, 0, 0, 0, 0, 0, 3, 598, 5895, 0, 0, 0, 0, 0, 0, 0, 0, 161947, 2017603 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 3,9 COMMENTS Terms computed by Michael Trott. LINKS Eric Weisstein's World of Mathematics, Steffi Problem EXAMPLE Triangle is arranged as (b,k) = (3, 2), (4, 2), (4, 3), (5, 2), (5, 3), (5,4), (6,2), .... In base 3, there are no solutions for 12, so T(3,2)=0. In base 4, there are no solutions for 12, so T(4,2)=0 and a single solution for 123, so T(4,3)=1. In base 5, there are no solutions with the digits 12 or 123, so T(5,1)=T(5,2)=0, but there is a single solution with the digits 1234: 4312_5/1234_5 = 3, so T(5,3)=1. 0; 0, 1; 0, 0, 1; 0, 0, 3, 25; 0, 0, 0, 2, 7; 0, 0, 0, 0, 68, 623; 0, 0, 0, 0,  0, 124, 1183; CROSSREFS T(b,b-1) gives A080203. Sequence in context: A000856 A047678 A047938 * A085836 A073916 A076962 Adjacent sequences:  A080199 A080200 A080201 * A080203 A080204 A080205 KEYWORD nonn,tabl,base AUTHOR Eric W. Weisstein, Feb 05 2003 STATUS approved

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