id:A110437 - OEIS Search Results

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A weighted sum of Jacobi function values.

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4

1, 11, 111, 1101, 11111, 111111, 1101001, 11111111, 111111111, 1101100101, 11111111111, 111101111011, 1101101101101, 11111111111111, 111111111111111, 1101101101001101, 11110101101110011, 111111111111111111 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Can be regarded as base 2 version of A110436. It would appear that a(n) has all 1's whenever 2n+1 is prime.`
	FORMULA	`a(n)=sum{k=0..n, abs(Jacobi(n-k, 2k+1))10^k}`
	CROSSREFS	`Cf. A005097.` `Adjacent sequences: A110434 A110435 A110436 this_sequence A110438 A110439 A110440` `Sequence in context: A143573 A058947 A101680 this_sequence A110444 A114397 A098595`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jul 20 2005`

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Last modified January 8 02:43 EST 2009. Contains 152824 sequences.

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