id:A067371 - OEIS Search Results

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Arithmetic derivatives of 3-smooth numbers.

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0, 1, 1, 4, 5, 12, 6, 16, 32, 21, 44, 27, 80, 60, 112, 81, 192, 156, 108, 272, 216, 448, 384, 297, 640, 540, 405, 1024, 912, 756, 1472, 1296, 1053, 2304, 2112, 1836, 1458, 3328, 3024, 2592, 5120, 4800, 4320, 3645, 7424, 6912, 6156, 11264, 5103, 10752 (list; graph; listen)

	OFFSET	`1,4`
	COMMENT	`a(n) = A003415(A003586(n)).`
	FORMULA	`A003415(2^i+3^j) = (3i + 2j) * 2^(i-1) * 3^(j-1), i, j >=0.`
	EXAMPLE	`a(18) = A003415(A003586(18)) = A003415(72) = A003415(2^33^2) = (33+22)2^(3-1)3^(2-1) = (9+4)2^23^1 = 1343 = 156.` `a(27) = A003415(A003586(27)) = A003415(243) = A003415(2^03^5) = (30+25)2^(0-1)3^(5-1) = ((0+10)/2)3^4 = 581 = 405.`
	CROSSREFS	`Cf. A001787, A027471, A022328, A022329.` `Sequence in context: A050831 A056799 A109503 this_sequence A068719 A034773 A080277` `Adjacent sequences: A067368 A067369 A067370 this_sequence A067372 A067373 A067374`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Mar 20 2002, revised: Jul 19 2003`

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Last modified August 8 15:51 EDT 2008. Contains 142751 sequences.

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