A126302 - OEIS

A126302

a(n) = Sum of peak heights of the n-th Dyck-path encoded by A014486(n).

0, 1, 2, 2, 3, 3, 3, 4, 3, 4, 4, 4, 5, 4, 4, 4, 5, 6, 5, 4, 5, 6, 4, 5, 5, 5, 6, 5, 5, 5, 6, 7, 6, 5, 6, 7, 5, 5, 5, 5, 6, 5, 6, 6, 7, 8, 7, 6, 7, 8, 6, 5, 5, 6, 7, 6, 7, 8, 9, 7, 5, 6, 7, 8, 5, 6, 6, 6, 7, 6, 6, 6, 7, 8, 7, 6, 7, 8, 6, 6, 6, 6, 7, 6, 7, 7, 8, 9, 8, 7, 8, 9, 7, 6, 6, 7, 8, 7, 8, 9, 10, 8

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..101.

FORMULA

a(n) = A125989(A014486(n)).

EXAMPLE

A014486(2) = 10 (1010 in binary) which encodes Dyck path /\/\ with two peaks at height=1, thus a(2)=2.

CROSSREFS

a(n) = a(A125976(n)) for all n.

Sequence in context: A271237 A062558 A072789 * A200648 A264982 A134674

Adjacent sequences: A126299 A126300 A126301 * A126303 A126304 A126305

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jan 02 2007

STATUS

approved