The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A223526 Triangle S(n,k) by rows: coefficients of 3^(n/2)*(x^(2/3)*d/dx)^n when n=0,2,4,6,... 0
 1, 1, 3, 4, 24, 9, 28, 252, 189, 27, 280, 3360, 3780, 1080, 81, 3640, 54600, 81900, 35100, 5265, 243, 58240, 1048320, 1965600, 1123200, 252720, 23328, 729, 1106560, 23237760, 52284960, 37346400, 11203920, 1551312, 96957, 2187, 24344320, 584263680, 1533692160 (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. FORMULA T(n,0) = A007559(n) and T(n,n) = A000244(n) for all n>=0 EXAMPLE Triangle begins: 1; 1, 3; 4, 24, 9; 28, 252, 189, 27; 280, 3360, 3780, 1080, 81; 3640, 54600, 81900, 35100, 5265, 243; 58240, 1048320, 1965600, 1123200, 252720, 23328, 729; 1106560, 23237760, 52284960, 37346400, 11203920, 1551312, 96957, 2187; 24344320, 584263680, 1533692160, 1314593280, 492972480, 91010304, 8532216, 384912, 6561; MAPLE a[0]:= f(x): for i from 1 to 20 do a[i] := simplify(3^((i+1)mod 2)*x^(((i+1)mod 2+1)/3)*(diff(a[i-1], x\$1 ))); end do: for j from 1 to 10 do b[j]:=a[2j]; end do; CROSSREFS Even row of A223169. Cf. A223168-A223172, A223511-A223532. Sequence in context: A041861 A042377 A276815 * A032831 A047180 A051394 Adjacent sequences:  A223523 A223524 A223525 * A223527 A223528 A223529 KEYWORD nonn,tabl AUTHOR Udita Katugampola, Mar 18 2013 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified July 31 04:27 EDT 2021. Contains 346367 sequences. (Running on oeis4.)