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A329758 Number of n-th generation nodes of a rooted binary tree whose m-th node has exactly A000002(m) descendants, where A000002 is the Kolakoski sequence. 2
1, 1, 2, 3, 4, 7, 10, 15, 22, 34, 51, 76, 114, 171, 257, 385, 575, 862, 1295, 1941, 2916, 4374, 6558, 9840, 14766, 22151, 33236, 49864, 74775, 112144, 168198, 252313, 378489, 567747, 851649, 1277446, 1916182, 2874172, 4311325, 6466984, 9700248, 14550387, 21825590 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Jack W Grahl, Table of n, a(n) for n = 1..43

FORMULA

a(n) = A054353(a(1) + ... + a(n-1)) - A054353(a(1) + ... + a(n-2)) for n > 2.

PROG

(Python)

def A329758():

x = 1

g = A000002()

while True:

yield x

acc = 0

for i in range(0, x):

acc = acc + next(g)

x = acc # Jack W Grahl, May 04 2020

CROSSREFS

Cf. A000002, A054353.

Sequence in context: A078159 A129490 A018132 * A100638 A319437 A270659

Adjacent sequences: A329755 A329756 A329757 * A329759 A329760 A329761

KEYWORD

nonn

AUTHOR

Jakub Zaborowski, Nov 20 2019

EXTENSIONS

More terms from Jack W Grahl, May 04 2020

STATUS

approved

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Last modified December 5 02:30 EST 2022. Contains 358572 sequences. (Running on oeis4.)