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

Offset: 1

Author

M. F. Hasler, Nov 08 2023

Keywords

• nonn

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.

Examples

			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.
		

Links

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

Crossrefs

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

Programs

PARI

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

Formula

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