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 A327571 Triangle T(n,k) read by rows giving the number of zeroless polydivisible numbers in base n that contains only "k" in the digits with 1 <= k <= n-1. 2
 1, 2, 2, 1, 3, 1, 2, 2, 4, 2, 1, 2, 1, 2, 1, 4, 4, 4, 4, 6, 4, 1, 2, 1, 2, 1, 3, 1, 2, 2, 4, 2, 2, 4, 2, 2, 1, 3, 1, 4, 1, 3, 1, 4, 1, 2, 2, 6, 2, 2, 6, 2, 2, 6, 2, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 4, 4, 4, 4, 6, 4, 4, 4, 4, 6, 4, 4 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 2,2 LINKS Seiichi Manyama, Rows n = 2..141, flattened Wikipedia, Polydivisible number. FORMULA T(n,1) = T(n,n-1) = A071222(n-2). T(n,1) <= T(n,k). T(n,2*m) >= 2 for m >= 1. EXAMPLE n | zeroless polydivisible numbers with all digits the same in base n --+------------------------------------------------------------------ 2 | [1] 3 | [1, 11], [2, 22] 4 | [1], [2, 22, 222], [3] So T(2,1) = 1, T(3,1) = 2, T(3,2) = 2, T(4,1) = 1, T(4,2) = 3, T(4,3) = 1. Triangle begins: n\k  | 1  2  3  4  5  6  7  8  9 10 11 12 -----+------------------------------------    2 | 1;    3 | 2, 2;    4 | 1, 3, 1;    5 | 2, 2, 4, 2;    6 | 1, 2, 1, 2, 1;    7 | 4, 4, 4, 4, 6, 4;    8 | 1, 2, 1, 2, 1, 3, 1;    9 | 2, 2, 4, 2, 2, 4, 2, 2;   10 | 1, 3, 1, 4, 1, 3, 1, 4, 1;   11 | 2, 2, 6, 2, 2, 6, 2, 2, 6, 2;   12 | 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1;   13 | 4, 4, 4, 4, 6, 4, 4, 4, 4, 6, 4, 4; PROG (Ruby) def T(k, n)   s = 0   (0..n - 2).each{|i|     s += k * n ** i     return i if s % (i + 1) > 0   }   n - 1 end def A327571(n)   (2..n).map{|i| (1..i - 1).map{|j| T(j, i)}}.flatten end p A327571(10) CROSSREFS Row sums give A327577. Cf. A071222, A327545. Sequence in context: A320040 A072528 A227083 * A166363 A117470 A070786 Adjacent sequences:  A327568 A327569 A327570 * A327572 A327573 A327574 KEYWORD nonn,tabl,base AUTHOR Seiichi Manyama, Sep 17 2019 STATUS approved

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Last modified January 20 23:29 EST 2020. Contains 331104 sequences. (Running on oeis4.)