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A185061
Position of the first occurrence of n in A193358 when it is considered to have the starting offset 1 instead of 0.
0
1, 2, 5, 3, 11, 7, 19, 13, 29, 21, 41, 31, 55, 43, 71, 57, 89, 73, 109, 91, 131, 111, 155, 133, 181, 157, 209, 183, 239, 211, 271, 241, 305, 273, 341, 307, 379, 343, 419, 381, 461, 421, 505, 463, 551, 507, 599, 553, 649, 601, 701, 651, 755, 703, 811, 757
OFFSET
1,2
COMMENTS
Conjecture: Only odd numbers occur after 2. - Antti Karttunen, Jun 13 2013
Conjecture is true. - Chai Wah Wu, Jun 07 2016
FORMULA
a(n) = A193422(n)+1, or in other words, 1 + the position of the first occurrence of n in A193358. - Antti Karttunen, Jun 13 2013
From Chai Wah Wu, Jun 07 2016: (Start)
G.f.: x*(x^6 - x^5 - 3*x^4 + 4*x^3 - x^2 - x - 1)/((x - 1)^3*(x + 1)^2).
a(2*n) = n*(n-1) + 1 for n > 1.
a(2*n+1) = n*(n+3) + 1.
a(n) = a(n-1) + 2*a(n-2) - 2*a(n-3) - a(n-4) + a(n-5) for n > 7. (End)
MATHEMATICA
aux[0]=1; aux[1]=2; aux[n_]:=aux[n]=aux[n-aux[n-2]]+2;
a[i_]:={n=0; While[!(aux[n]==i), n++]; n};
Flatten[Table[a[i]+1, {i, 1, 100}]]
(* corrected by Robert Price, Jun 06 2016 *)
CROSSREFS
Cf. A193358.
Sequence in context: A178174 A094744 A229608 * A129198 A387266 A122442
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
Description clarified to take heed of changed offset of A193358 by Antti Karttunen, Jun 13 2013
STATUS
approved