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A244314 Nonnegative integers n such that Semigreedy Catalan representation A244159(n) contains at least one zero. 5
0, 2, 5, 6, 7, 14, 15, 16, 17, 18, 19, 20, 21, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Starting offset is zero because A244159(0) = 0 is a borderline case (either one zero, or no zeros if leading zeros are discarded).

From a(1)=2 onward the positions of zeros in A244233.

After zero consists of successive subsequences containing terms from A000108(k) to (A000108(k)+A014138(k-2)-1) computed from k >= 2 onward, as: [2], [5,6,7], [14 .. 21],  [42 .. 63], [132 .. 195], [429 .. 624], [1430 .. 2054], [4862 .. 6916], etc.

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..9891

FORMULA

a(0) = 0, a(1) = 2, and for n >= 2, a(n) = n + A000108(1+A244317(n)) - A014143(A244317(n)-2)) - 1.

PROG

(Scheme) (define (A244314 n) (cond ((zero? n) 0) ((= 1 n) 2) (else (+ -1 n (- (A000108 (+ 1 (A244317 n))) (A014143 (- (A244317 n) 2)))))))

CROSSREFS

Subsequence of A244217.

Cf. A000108, A014138, A014143, A244233, A244159, A244217, A244317, A081291, A081293.

Sequence in context: A215761 A117548 A175135 * A014489 A286270 A033959

Adjacent sequences:  A244311 A244312 A244313 * A244315 A244316 A244317

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jun 25 2014

STATUS

approved

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Last modified September 24 16:51 EDT 2020. Contains 337321 sequences. (Running on oeis4.)