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 A260325 Triangle read by rows: T(n,k) = logarithmic polynomial A_k^(n)(x) evaluated at x=-1. 4
 1, 2, 1, 5, 2, 2, 16, 9, 6, 6, 65, 28, 12, 24, 24, 326, 185, 140, 60, 120, 120, 1957, 846, 750, 120, 360, 720, 720, 13700, 7777, 2562, 5250, 840, 2520, 5040, 5040, 109601, 47384, 47096, 40656, 1680, 6720, 20160, 40320, 40320, 986410, 559953, 378072, 181944, 365904, 15120, 60480, 181440, 362880, 362880 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Table of n, a(n) for n=1..55. J. M. Gandhi, On logarithmic numbers, Math. Student, 31 (1963), 73-83. Gives first 10 rows. [Annotated scanned copy] EXAMPLE Triangle begins: 1; 2, 1; 5, 2, 2; 16, 9, 6, 6; 65, 28, 12, 24, 24; 326, 185, 140, 60, 120, 120; 1957, 846, 750, 120, 360, 720, 720; ... MAPLE A260325 := proc(n, r) if r = 0 then 1 ; elif n > r+1 then 0 ; else add( 1/(r-j*n+1)!, j=1..(r+1)/n) ; %*r! ; end if; end proc: for r from 0 to 20 do for n from 1 to r+1 do printf("%a, ", A260325(n, r)) ; end do: printf("\n") ; end do: # R. J. Mathar, Jul 24 2015 MATHEMATICA T[n_, k_] := Which[n == 0, 1, k > n+1, 0, True, Sum[1/(n-j*k+1)!, {j, 1, (n+1)/k}]*n!]; Table[T[n, k], {n, 0, 9}, {k, 1, n+1}] // Flatten (* Jean-François Alcover, Apr 25 2023 *) CROSSREFS Rows, column sums give A000522, A002747, A002750, A002751. Main diagonal gives A000142. Cf. A260322, A260323, A260324. Sequence in context: A110874 A010253 A065274 * A136262 A162180 A090003 Adjacent sequences: A260322 A260323 A260324 * A260326 A260327 A260328 KEYWORD sign,tabl AUTHOR N. J. A. Sloane, Jul 23 2015 STATUS approved

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Last modified December 7 01:49 EST 2023. Contains 367616 sequences. (Running on oeis4.)