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 A085507 Stirling transform of the prime characteristic function. 0
 0, 0, 1, 4, 13, 41, 136, 505, 2171, 10693, 58246, 340242, 2095435, 13492077, 90267633, 623383765, 4414350135, 31899350954, 235002008725, 1773013299342, 13855253098226, 114135759054965, 1010686200326760, 9744658443894282 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS S. K. Ghosal, J. K. Mandal, Stirling Transform Based Color Image Authentication, Procedia Technology, 2013 Volume 10, 2013, Pages 95-104. Eric Weisstein's World of Mathematics, Stirling Transform FORMULA G.f.: Sum_{k>=1} x^prime(k)/Product_{j=1..prime(k)} (1 - j*x). - Ilya Gutkovskiy, Jun 19 2018 MATHEMATICA a[n_] := Sum[ StirlingS2[n, k]*Boole[PrimeQ[k]], {k, 0, n}]; Table[a[n], {n, 0, 23}] (* Jean-François Alcover, Oct 29 2012 *) CROSSREFS Sequence in context: A141364 A001453 A005002 * A121654 A186202 A036366 Adjacent sequences:  A085504 A085505 A085506 * A085508 A085509 A085510 KEYWORD nonn AUTHOR Eric W. Weisstein, Jul 02 2003 STATUS approved

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Last modified January 19 17:45 EST 2019. Contains 319309 sequences. (Running on oeis4.)