A367092 - OEIS

A367092

Starting values of runs of consecutive numbers in A367090, i.e., minima of gaps in the set of sums of distinct powers of 3 and distinct powers of 4.

62, 143, 207, 463, 561, 642, 706, 791, 872, 936, 1487, 1585, 1666, 1730, 1815, 1896, 1960, 2249, 2395, 2650, 2748, 2829, 2893, 2978, 3059, 3123, 3674, 3772, 3853, 3917, 4002, 4083, 4158, 4582, 4657, 4738, 4802, 4887, 4968, 5032, 5583, 5681, 5762, 5826, 5911, 5992, 6056, 6345, 6491

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OFFSET

1,1

COMMENTS

Also: terms a(n) of A367090 such that a(n)-1 is not in A367090.

("Consecutive" includes the possibility of having a gap of just one single isolated missing number.)

This sequence together with A367091 (run lengths), provide a "compressed version" of A367090.

LINKS

Hugo Pfoertner, Table of n, a(n) for n = 1..10000

FORMULA

{ x in A367090 | x-1 is not in A367090 }

EXAMPLE

Sequence A367090 (= numbers that are not the sum of distinct powers of 3 or 4) starts (62, 63, 143, 144, 207, 208, 209, 210, ...), so the first three runs of consecutive terms start at a(1) = 62, a(2) = 143, and a(3) = 207.

PROG

(PARI) A367092_upto(N, A=A367090_upto(N))=[ A[k] | k<-[1..#A], A[k-(k>1)]!=A[k]-1 ])

CROSSREFS

Cf. A367090, A367091; A005836 and A000695 (sums of distinct powers of 3 resp. 4).

Sequence in context: A296026 A107581 A259738 * A044313 A044694 A238138

Adjacent sequences: A367089 A367090 A367091 * A367093 A367094 A367095

KEYWORD

nonn

AUTHOR

M. F. Hasler, Nov 08 2023

STATUS

approved