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A110535 Ceiling(k^n/n^k). 1
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; internal format)
OFFSET

0,9

COMMENTS

Correlation matrix is A110537. Row sums are A110536. The row sums of the inverse matrix may be A000007.

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;

CROSSREFS

Sequence in context: A053874 A170906 A123245 * A033941 A053256 A102418

Adjacent sequences:  A110532 A110533 A110534 * A110536 A110537 A110538

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jul 25 2005

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Last modified February 16 03:44 EST 2012. Contains 205860 sequences.