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Search: id:A154952
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%I A154952
%S A154952 1,5,6,7,12,9,13,17,22,20,26,56,50,46,74,106,76,152,116,242,206,284,623,
%T A154952 1056,1032,1582,1586,1616,1892,1676,4286,5484,4946,7016,5366,11262,
%U A154952 18776,17486,19688,18192,21018,60662,51476,56546,79946,66986,105476
%N A154952 Index of first occurrence of n in A154404.
%C A154952 A related problem is to determine the index of the last occurrence of 
               n in A154404. Among the first 10^6 terms in A154404, the values 0, 
               1, 2 and 3 last occur at indices 4, 5, 6 and 8, respectively, but 
               all values larger than 3 that occur at all (4 through 56 and 58 through 
               61) do so at least once beyond the 500000th term.
%C A154952 The value 4, after its initial occurrence in A154404 at n=12, does not 
               reoccur until n=666393. (The 4 ways to reach 666393 as a sum of an 
               odd prime, a positive Fibonacci number and a Catalan number are 605023+2584+58786, 
               606997+610+58786, 607573+34+58786 and 648677+17711+5.)
%e A154952 a(4) = 12 because 12 is the smallest number that can be expressed in 
               exactly 4 ways as the sum of an odd prime, a positive Fibonacci number 
               and a Catalan number. (The 4 ways are 3+8+1, 5+2+5, 5+5+2 and 7+3+2.)
%Y A154952 Cf. A154404
%Y A154952 Sequence in context: A139205 A039589 A028318 this_sequence A037360 A120521 
               A022566
%Y A154952 Adjacent sequences: A154949 A154950 A154951 this_sequence A154953 A154954 
               A154955
%K A154952 nonn
%O A154952 0,2
%A A154952 Jon E. Schoenfield (jonscho(AT)hiwaay.net), Jan 18 2009

    
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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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