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 A230417 Lower triangular region of A230415, a triangular table read by rows: T(n, k) tells in how many digit positions the factorial base representations (A007623) of n and k differ, where (n, k) = (0,0), (1,0), (1,1), (2,0), (2,1), (2,2), ..., n >= 0 and (0 <= k <= n). 5
 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 3, 2, 3, 0, 2, 1, 3, 2, 3, 2, 1, 0, 2, 3, 1, 2, 2, 3, 1, 2, 0, 3, 2, 2, 1, 3, 2, 2, 1, 1, 0, 2, 3, 2, 3, 1, 2, 1, 2, 1, 2, 0, 3, 2, 3, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 0, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 0, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 1, 2, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS Antti Karttunen, Rows n = 0..120 of triangle, flattened FORMULA a(n) = A230415bi(A003056(n),A002262(n)). [As a sequence, this is obtained by taking a subsection from array A230415.] T(n,0) = A060130(n) [the leftmost column]. For n >= 1, T(n,n-1) = A055881(n) [the last nonzero column]. Each entry T(n,k) <= A231714(n,k). EXAMPLE This triangular table begins:   0;   1, 0;   1, 2, 0;   2, 1, 1, 0;   1, 2, 1, 2, 0;   2, 1, 2, 1, 1, 0;   1, 2, 2, 3, 2, 3, 0;   ... Please see A230415 for examples how the terms are computed. PROG (Scheme) (define (A230417 n) (A230415bi (A003056 n) (A002262 n))) (define (A230415bi x y) (let loop ((x x) (y y) (i 2) (d 0)) (cond ((and (zero? x) (zero? y)) d) (else (loop (floor->exact (/ x i)) (floor->exact (/ y i)) (+ i 1) (+ d (if (= (modulo x i) (modulo y i)) 0 1))))))) CROSSREFS This is a lower, or equivalently, an upper triangular subregion of symmetric square array A230415. Cf. A231714, A060130, A055881. Sequence in context: A287267 A317540 A133701 * A287263 A102442 A091182 Adjacent sequences:  A230414 A230415 A230416 * A230418 A230419 A230420 KEYWORD nonn,base,tabl AUTHOR Antti Karttunen, Nov 10 2013 STATUS approved

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Last modified August 2 21:30 EDT 2021. Contains 346429 sequences. (Running on oeis4.)