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Search: id:A162460
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A162460 First differences of A161762. +0
1
0, 2, 2, 7, 14, 37, 90, 232, 594, 1541, 4004, 10441, 27260, 71254, 186354, 487579, 1276002, 3339821, 8742470, 22885996, 59912930, 156848617, 410626152, 1075018897, 2814412824, 7368190922, 19290113570, 50502074767, 132215989334, 346145696821, 906220783314 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n)=A161762(n+1)-A161762(n).

a(n)=A000217(A000045(n+1))+A000217(A000045(n-1)-1)-A000290(A000045(n)). - R. J. Mathar, Jul 06 2009

EXAMPLE

a(1)=0=1-1. a(2)=2=3-1. a(3)=2=5-3. a(4)=7=12-5. a(5)=14=26-12. a(6)=37=63-26.

MAPLE

A000217 := proc(n) n*(n+1)/2 ; end:

A000045 := proc(n) combinat[fibonacci](n) ; end:

A162460 := proc(n) A161762(n+1)-A161762(n) ; end:

A161762 := proc(n) A000217(A000045(n))-A000217( A000045(n-1)-1) ; end: seq(A162460(n), n=1..80) ; # R. J. Mathar, Jul 06 2009

CROSSREFS

Cf. A000045, A161762.

Sequence in context: A019144 A049953 A156435 this_sequence A061274 A061575 A133602

Adjacent sequences: A162457 A162458 A162459 this_sequence A162461 A162462 A162463

KEYWORD

nonn

AUTHOR

Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jul 04 2009

EXTENSIONS

a(21) corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 05 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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