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Search: id:A116534
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| A116534 |
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Start with 1 and 2; if number is even join with last number and divide by 2, if it is odd add 1 and divide by 2. |
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+0
2
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| 1, 2, 6, 13, 7, 4, 37, 19, 10, 955, 478, 477739, 238870, 238869619435, 119434809718, 119434809717559717404859, 59717404858779858702430, 5971740485877985870242979858702429389929351215
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Rapidly growing: for n=10,20,30,40,50 the terms have 3, 138, 914, 3649, 248128 digits respectively (cf. A131059). - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 12 2007
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FORMULA
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1,2 = 12 / 2 = 6, is even so = 26 /2 = 13 is odd so sum 1 and / by 2 = 7, +1 /2 = 4, is even so I join with 7 = 74 /2 = 37 +1 /2 = 19, etc
a(n)=ceiling(a(n-1)/2)+(1+(-1)^a(n-1))*10^floor(log_10(a(n-1))+1)*a(n-2)/4, n>=2. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 12 2007
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CROSSREFS
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Cf. A131059.
Adjacent sequences: A116531 A116532 A116533 this_sequence A116535 A116536 A116537
Sequence in context: A007668 A089415 A161324 this_sequence A130533 A082722 A030416
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KEYWORD
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nonn
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AUTHOR
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Rodolfo Marcelo Kurchan (rkurchan(AT)yahoo.com), Mar 26 2006
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EXTENSIONS
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More terms from Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 12 2007
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