A083934 -id:A083934 - cp's OEIS frontend

A083935 Inverse function of N -> N injection A083934.

0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0

Offset: 0

Antti Karttunen, May 13 2003

nonn

a(0)=0 because A083934(0)=0, but a(n) = 0 also for those n which do not occur as values of A083934. All positive natural numbers occur here once.

a(A080934(n)) = n for all n. Cf. A083925-A083929, A014486, A080300, A059905, A059906.

A083932 A014486-encoding of the Catalan mountain ranges with only even-length slopes allowed.

Original entry on oeis.org

0, 12, 204, 240, 3276, 3312, 3852, 3888, 4032, 52428, 52464, 53004, 53040, 53184, 61644, 61680, 62220, 62256, 62400, 64524, 64560, 64704, 65280, 838860, 838896, 839436, 839472, 839616, 848076, 848112, 848652, 848688, 848832, 850956, 850992

Offset: 0

Antti Karttunen, May 13 2003

nonn

Subset of totally balanced binary strings (A014486) with only even runs of either bit 0 or 1 occurring. See A083933.

Index entries for encodings of plane rooted trees

Same sequence in binary: A083933, indices to A014486: A083934.

Permutation of A080316 from which this differs first time at the sixth term, with a(6)=3852, while A080316(6)=4032.

a(n) = A008585(A083931(n)), i.e. 3*A083931(n).

cp's OEIS Frontend

A083935 Inverse function of N -> N injection A083934.

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