id:A145737 - OEIS Search Results

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a(n) = square part of A145609(n)

+0
3

1, 5, 7, 1, 11, 13, 1, 17, 19, 1, 23, 1, 1, 29, 31, 1, 1, 37, 1, 41, 43, 1, 47, 1, 1, 53, 1, 1, 59, 61, 1, 1, 67, 1, 71, 73, 1, 1, 79, 1, 83, 1, 1, 89, 1, 1, 1, 97, 1, 101, 103, 1, 107, 109, 1, 113, 1, 1, 1, 1, 1, 1, 127, 1, 131, 1, 1, 137, 139, 1, 1, 1, 1, 149, 151, 1, 1, 157, 1, 1, 163 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`For squarefree parts see A145738. Very similar sequence is A128059.`
	FORMULA	`With exception first term is following rule:` `a(n)=2n+1 if 2n+1 is prime or 1 in opposite case.`
	MATHEMATICA	`m = 1; aa = {}; Do[k = 0; Do[k = k + m^(2 r + 1 - d)/d, {d, 1, 2 r}]; b = Sqrt[Numerator[k]] /. Sqrt[_] -> 1; AppendTo[aa, b], {r, 1, 137}]; aa (Artur Jasinski)`
	CROSSREFS	`A128059, A145609, A145738` `Sequence in context: A153613 A023571 A155066 this_sequence A108763 A061415 A087455` `Adjacent sequences: A145734 A145735 A145736 this_sequence A145738 A145739 A145740`
	KEYWORD	`nonn`
	AUTHOR	`Artur Jasinski (grafix(AT)csl.pl), Oct 17 2008`

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.

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