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Search: id:A061233
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| A061233 |
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Pierce expansion for 4 - Pi. |
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+0
4
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| 1, 7, 112, 115, 157, 372, 432, 1340, 7034, 8396, 9200, 18846, 29558, 34050, 89754, 101768, 1361737, 48461857, 81164005, 145676139, 163820009, 182446527, 5021656281, 8401618827, 22255558907, 28334352230, 127113921970, 310272097461, 782301280193, 5560255100022, 9925600136870, 85169484256928, 2542699818508737, 3145584963639199, 397021758001902006, 467746771316089905
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Also, alternating Engel expansion for Pi.
Pi = 4 - 1/1 + 1/1*7 - 1/1*7*112 + 1/1*7*112*115 - ...
Pierce expansions are always strictly increasing.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..400
Index entries for sequences related to Engel expansions
Eric Weisstein's World of Mathematics, Pierce Expansion
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MAPLE
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Digits := 1000: x0 := 4-Pi-4^(-1000): x1 := 4-Pi+4^(-1000): ss := []: # when expansions of x0 and x1 differ, halt
k0 := floor(1/x0): k1 := floor(1/x1): while k0=k1 do ss := [op(ss), k0]: x0 := 1-k0*x0: x1 := 1-k1*x1: k0 := floor(1/x0): k1 := floor(1/x1): od:
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CROSSREFS
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A014014 and A015884 are inferior versions of this sequence.
Sequence in context: A101924 A112463 A009471 this_sequence A117795 A094219 A067404
Adjacent sequences: A061230 A061231 A061232 this_sequence A061234 A061235 A061236
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KEYWORD
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nonn,easy,nice
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AUTHOR
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Frank.Ellermann(AT)t-online.de, May 15, 2001.
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EXTENSIONS
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More terms from Eric Rains (rains(AT)caltech.edu), May 31, 2001.
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