A293750 - OEIS

A293750

a(n) is the total number of line segments that belong to the Dyck paths in the diagram of the symmetries of sigma described in A236104 and A237593 after n-th stage, with a(0) = 0.

0, 2, 4, 6, 10, 12, 18, 20, 26, 30, 36, 38, 46, 48, 54, 62, 72, 74, 84, 86, 96, 104, 110, 112, 124, 130, 136, 144, 158, 160

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

OFFSET

0,2

LINKS

Table of n, a(n) for n=0..29.

FORMULA

a(n) = A294847(n) - 2.

EXAMPLE

Illustration of initial terms (n = 1..6):

. _ _ _ _

. _ _ _ _ _ _ |_

. _ _ _ _ _ _| _ _ _| |_

. _ _ _ _ |_ _ _ |_ _ _ _ |_ _ |

. _ _ _ _|_ _ _|_ | _ _|_ | | _ _|_ | | |

. _ _ | _ | | _ | | | _ | | | | _ | | | | |

. | | | | | | | | | | | | | | | | | | | | |

. 2 4 6 10 12 18

CROSSREFS

Cf. A000203, A024916, A196020, A235791, A236104, A237048, A237270, A237271, A237590, A237591, A237593, A245092, A262626, A294723, A294847.

Sequence in context: A045954 A072542 A167856 * A162578 A152919 A306564

Adjacent sequences: A293747 A293748 A293749 * A293751 A293752 A293753

KEYWORD

nonn,more

AUTHOR

Omar E. Pol, Nov 09 2017

STATUS

approved

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