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Indices in Recamán's sequence A005132 which are the result of a record number of addition steps.
3

%I #38 Feb 16 2026 13:15:59

%S 1,2,3,115,30053,5026075,101309269024,2295517504465252,

%T 26092226183926722,214195453165357092357,

%U 988968126989839753562465033279585919692224026

%N Indices in Recamán's sequence A005132 which are the result of a record number of addition steps.

%C A393284 gives corresponding values of A005132.

%C a(12) > 10^612.

%e Let R(n) = n-th term of Recamán's sequence (A005132). R(111)..R(115) are 40, 152, 265, 379, 494; so R(115)=494 is the result of four consecutive addition steps, and is the first such R(n). Thus a(4) = 115.

%Y Cf. A005132, A393284 (corresponding terms), A392407 (record subtraction indices), A393285 (record subtraction terms), A057165 (addition steps), A057166 (subtraction steps).

%K nonn

%O 1,2

%A _Benjamin Chaffin_, Feb 09 2026