A145682 - OEIS

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A145682

The value of the sum shown in the display appears to 2, 8, 32 - sqrt(2), 113, 382, 833, 1822, 3713, 7582, ... for n = 1, ..., 9.

2, 8, 32, 113, 382, 833, 1822, 3713, 7582 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`This is an unusual sequence mentioned on the Math Fun Mailing list. It does not quite fit the format of regular OEIS entries, but is too interesting to be forgotten. - N. J. A. Sloane, Mar 29 2009` `The definition arises from the Fourier series for the Snowflake curve.` `..................................................................` `.............................. inf ...............................` `.............................. ==== ............ m ...............` `............................ k \ ....... %pi (k 2..- 5) ..... n ..` `....................... (- 1).. > .. tan(--------------) (- 1) ...` `............. inf ............ / ............ n + m ..............` `............. ==== ........... ==== ........ 2 ...................` `..... 5 m - 1 \ .............. n = 1 .............................` `.. 3 2 ....... > ...... --------------------------------------- ..` `............. / .................................... m ...........` `............. ==== .......... m ... 3 ... 10 %pi (k 2 .- 5) ......` `............. k = - inf . (k 2..- 5)..csc(-----------------) .....` `................................................ 2 m .............` `............................................... 2 ................` `.. ------------------------------------------------------------ ..` `........................... 3 ... 5 %pi ..........................` `........................ %pi..csc(-----) .........................` `................................... m ............................` `.................................. 2 .............................`
	CROSSREFS	`Sequence in context: A134753 A052481 A067897 * A099752 A081294 A004171` `Adjacent sequences: A145679 A145680 A145681 * A145683 A145684 A145685`
	KEYWORD	`nonn`
	AUTHOR	`R. William Gosper (rwg(AT)osots.com), Apr 12 2005`

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Last modified February 15 23:53 EST 2012. Contains 205860 sequences.