A001467 - OEIS

This site is supported by donations to The OEIS Foundation.

A001467

Denominators of an expansion for Pi.
(Formerly M4464 N1893)

1, 1, 1, 7, -791, -3748629, 151648960887729, -1323497544567561138595307148089, 41444465282455711991644958522615049159671653083333293470875123 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,4`
	REFERENCES	`Mohammad K. Azarian, An Expression for , Problem #870, College Mathematics Journal, Vol. 39, No. 1, January 2008, pp. 66. Solution appeared in Vol. 40, No. 1, January 2009, pp. 62-64.` `H. E. Salzer, The approximation of numbers as sums of reciprocals, Amer. Math. Monthly, 54 (1947), 135-142.` `N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).` `N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).` `J. W. Wrench, Jr., personal communication.`
	LINKS	`Index entries for sequences related to the number Pi`
	FORMULA	`Numerators are 1.`
	EXAMPLE	`a(4)=-791 since pi-(1/1)-(1/1)-(1/1)-(1/7)=-0.001264489... is closer to 1/(-791)=-0.001264222... than to 1/(-790)=-0.0012658228...`
	PROG	`(PARI) x=Pi; for(k=0, 8, if(x<1, d=round(1/x), d=1); x=x-1/d; print(d, ", ")) [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Feb 21 2009]`
	CROSSREFS	`Cf. A001466, A014013, A073422.` `Sequence in context: A020470 A171245 A014013 * A047788 A203694 A087350` `Adjacent sequences: A001464 A001465 A001466 * A001468 A001469 A001470`
	KEYWORD	`sign,frac`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`
	EXTENSIONS	`Edited by Henry Bottomley (se16(AT)btinternet.com), Jul 30 2002`

Content is available under The OEIS End-User License Agreement .

Last modified February 17 23:08 EST 2012. Contains 206085 sequences.