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 A093846 Triangle read by rows: T(n, k) = 10^(n-1) - 1 + k*floor(9*10^(n-1)/n), for 1 <= k <= n. 6
 9, 54, 99, 399, 699, 999, 3249, 5499, 7749, 9999, 27999, 45999, 63999, 81999, 99999, 249999, 399999, 549999, 699999, 849999, 999999, 2285713, 3571427, 4857141, 6142855, 7428569, 8714283, 9999997, 21249999, 32499999, 43749999, 54999999, 66249999, 77499999, 88749999, 99999999 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 10^(n-1)-1 and the n-th row are n+1 numbers in arithmetic progression and the common difference is the largest such that a(n, n) has n digits. This common difference equals A061772(n). LINKS G. C. Greubel, Rows n = 1..100 of triangle, flattened EXAMPLE Triangle begins: 9; 54, 99; 399, 699, 999; 3249, 5499, 7749, 9999; ... MAPLE A093846 := proc(n, k) RETURN (10^(n-1)-1+k*floor(9*(10^(n-1)/n))); end; for n from 1 to 10 do for k from 1 to n do printf("%d, ", A093846(n, k)); od; od; # R. J. Mathar, Jun 23 2006 MATHEMATICA Table[# -1 +k Floor[9 #/n] &[10^(n-1)], {n, 8}, {k, n}]//Flatten (* Michael De Vlieger, Jul 18 2016 *) PROG (PARI) {T(n, k) = 10^(n-1) -1 +k*floor(9*10^(n-1)/n)}; \\ G. C. Greubel, Mar 22 2019 (Magma) [[10^(n-1) -1 +k*Floor(9*10^(n-1)/n): k in [1..n]]: n in [1..8]]; // G. C. Greubel, Mar 22 2019 (Sage) [[10^(n-1) -1 +k*floor(9*10^(n-1)/n) for k in (1..n)] for n in (1..8)] # G. C. Greubel, Mar 22 2019 CROSSREFS Cf. A061772, A093847, A093849, A093850. Sequence in context: A259316 A224484 A225791 * A152994 A034719 A013567 Adjacent sequences: A093843 A093844 A093845 * A093847 A093848 A093849 KEYWORD base,easy,less,nonn,tabl AUTHOR Amarnath Murthy, Apr 18 2004 EXTENSIONS Corrected and extended by R. J. Mathar, Jun 23 2006 Edited by David Wasserman, Mar 26 2007 STATUS approved

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Last modified February 5 03:48 EST 2023. Contains 360082 sequences. (Running on oeis4.)