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 A072049 a(n) = floor(2^(n/(floor(n*log(2)/log(prime(n)))))). 1
 2, 4, 8, 16, 32, 64, 128, 256, 512, 32, 45, 64, 90, 128, 181, 256, 362, 64, 80, 101, 128, 161, 203, 256, 322, 406, 107, 128, 152, 181, 215, 256, 304, 362, 430, 512, 168, 194, 222, 256, 294, 337, 388, 445, 512, 203, 228, 256, 287, 322, 362, 406, 456, 512, 574 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The sequence comes from the relationship of the primes to powers of two: in Sierpiński gasket sets the number s(n)=log(prime(n))/log(2) is the Moran dimension of unique fractal types. I first thought of making numbers that take these to integers by multiplication. And then of using integers of those to make other integers as powers of two that were prime like. The sequence is slow to increase and has an alternating effect so that it dips lower after reaching a peak. LINKS Table of n, a(n) for n=1..55. MATHEMATICA Table[Floor[2^(n/(Floor[n * Log[2]/Log[Prime[n]]]))], {n, 60}] CROSSREFS Sequence in context: A101440 A126605 A072067 * A281938 A242350 A115213 Adjacent sequences: A072046 A072047 A072048 * A072050 A072051 A072052 KEYWORD nonn AUTHOR Roger L. Bagula, Jul 30 2002 EXTENSIONS Edited by Robert G. Wilson v, Jul 31 2002 STATUS approved

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Last modified March 2 15:53 EST 2024. Contains 370494 sequences. (Running on oeis4.)