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 A223530 Triangle S(n,k) by rows: coefficients of 5^(n/2)*(x^(4/5)*d/dx)^n when n=0,2,4,6,... 0
 1, 1, 5, 6, 60, 25, 66, 990, 825, 125, 1056, 21120, 26400, 8000, 625, 22176, 554400, 924000, 420000, 65625, 3125, 576576, 17297280, 36036000, 21840000, 5118750, 487500, 15625, 17873856, 625584960, 1563962400, 1184820000, 370256250, 52893750, 3390625, 78125 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS U. N. Katugampola, Mellin Transforms of Generalized Fractional Integrals and Derivatives, Appl. Math. Comput. 257(2015) 566-580. U. N. Katugampola, Existence and Uniqueness results for a class of Generalized Fractional Differential Equations, arXiv preprint arXiv:1411.5229, 2014 EXAMPLE Triangle begins: 1; 1, 5; 6, 60, 25; 66, 990, 825, 125; 1056, 21120, 26400, 8000, 625; 22176, 554400, 924000, 420000, 65625, 3125; 576576, 17297280, 36036000, 21840000, 5118750, 487500, 15625; 17873856, 625584960, 1563962400, 1184820000, 370256250, 52893750, 3390625, 78125; MAPLE a[0]:= f(x): for i from 1 to 20 do a[i] := simplify(5^((i+1)mod 2)*x^((3((i+1)mod 2)+1)/5)*(diff(a[i-1], x\$1 ))); end do: for j from 1 to 10 do b[j]:=a[2j]; end do; CROSSREFS Even rows of A223171. Cf. A008277, A019538, A035342, A035469, A049029, A049385, A092082, A132056, A223511-A223522, A223168-A223172, A223523-A223532. Sequence in context: A256291 A299243 A191557 * A132444 A111504 A041057 Adjacent sequences:  A223527 A223528 A223529 * A223531 A223532 A223533 KEYWORD nonn,tabl AUTHOR Udita Katugampola, Mar 23 2013 STATUS approved

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Last modified August 11 23:45 EDT 2020. Contains 336434 sequences. (Running on oeis4.)