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 A110535 Triangle formed from ceiling(k^n/n^k). 2
 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 4, 4, 3, 1, 1, 3, 7, 7, 5, 3, 1, 1, 4, 13, 16, 12, 7, 3, 1, 1, 7, 27, 40, 34, 19, 9, 4, 1, 1, 11, 60, 105, 98, 61, 29, 11, 4, 1, 1, 17, 134, 287, 304, 205, 102, 41, 14, 4, 1, 1, 29, 308, 810, 982, 729, 387, 160, 55, 17, 5, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,9 COMMENTS Correlation matrix is A110537. Row sums are A110536. The row sums of the inverse matrix may be A000007. LINKS G. C. Greubel, Table of n, a(n) for the first 50 rows, flattened FORMULA Number triangle T(n, k) = if(k<=n, ceiling(k^n/n^k), 0). EXAMPLE Rows begin 1; 1, 1; 1, 1, 1; 1, 1, 2, 1; 1, 2, 2, 2, 1; 1, 2, 4, 4, 3, 1; 1, 3, 7, 7, 5, 3, 1; 1, 4, 13, 16, 12, 7, 3, 1; MATHEMATICA Table[Ceiling[k^n/n^k], {n, 1, 20}, {k, 1, n}] // Flatten (* G. C. Greubel, Aug 30 2017 *) PROG (PARI) for(n=1, 20, for(k=1, n, print1(ceil(k^n/n^k), ", "))) \\ G. C. Greubel, Aug 30 2017 (MAGMA) /* As triangle */ [[Ceiling(k^n/n^k): k in [1..n]]: n in [1.. 15]]; // Vincenzo Librandi, Aug 30 2017 CROSSREFS Sequence in context: A170906 A123245 A262611 * A033941 A053256 A336498 Adjacent sequences:  A110532 A110533 A110534 * A110536 A110537 A110538 KEYWORD easy,nonn,tabl AUTHOR Paul Barry, Jul 25 2005 STATUS approved

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Last modified September 16 07:19 EDT 2021. Contains 347469 sequences. (Running on oeis4.)