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A058361 a(n) is the least k in A002977 with a gap of n. Also n + a(n) is the least k in A007448 which is repeated n times. 1

%I

%S 3,1,4,15,22,121,735,31,46,22143,4468,67,31455,391,2308,447,94,33151,

%T 16383,139,202,7551,5224,787,1595391,3685,580,30591,418,42495,1791,

%U 607,1342,3217407,1095166,283,398847,32767,365311,88575,1174,6925,12304383

%N a(n) is the least k in A002977 with a gap of n. Also n + a(n) is the least k in A007448 which is repeated n times.

%t k = {1}; Do[ k = Union[ Join[ k, 2k + 1, 3k + 1 ] ]; l = Length[ k ]; i = 1; While[ i < l && k[ [ i ] ] < 10^9, i++ ]; k = Take[ k, {1, i} ], {n, 1, 30} ]; f[ n_Integer ] := (i = 1; While[ k[ [ i + 1 ] ] - k[ [ i ] ] != n, i++ ]; k[ [ i ] ]); Table[ f[ n ], {n, 1, 84} ]

%Y Cf. A002977, A007448.

%K nonn

%O 1,1

%A _Robert G. Wilson v_, Dec 16 2000

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Last modified September 22 03:54 EDT 2020. Contains 337289 sequences. (Running on oeis4.)