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A104470 Tribonacci equivalent of mousetrap sequence (A002467). 1
1, 1, 1, 9, 44, 270, 1938, 15764, 143776, 1453302, 16128420, 194980478, 2550746400, 35904118874, 541097840528, 8693290587030, 148324680742912, 2678504175897990, 51039398650102776, 1023458322628129882 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

The mousetrap sequence (A002467) can be defined in a Fibonacci-like way as: a(0) = a(1) = 1; for n>1 a(n) = n*(a(n-1)+a(n-2)). The current sequence is thus the tribonacci equivalent of that.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..449

FORMULA

a(0) = a(1) = a(2) = 1; for n>2 a(n) = n*(a(n-1)+a(n-2)+a(n-3)).

MATHEMATICA

RecurrenceTable[{a[0]==a[1]==a[2]==1, a[n]==n(a[n-1]+a[n-2]+a[n-3])}, a, {n, 20}] (* Harvey P. Dale, Dec 25 2018 *)

CROSSREFS

Cf. A002467.

Sequence in context: A099867 A228603 A297491 * A282722 A084016 A221508

Adjacent sequences:  A104467 A104468 A104469 * A104471 A104472 A104473

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post, Mar 09 2005

STATUS

approved

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Last modified April 8 14:52 EDT 2020. Contains 333314 sequences. (Running on oeis4.)