A177326 Number of permutations of n copies of 1..5 with all adjacent differences <= 3 in absolute value.

1, 72, 41580, 37850400, 42251309100, 52977847995072, 71614356453896256, 102038786510159790720, 151158246783053570131500, 230729955958244519983206000, 360656999876515853295073369080, 574739352751818771710077504838400, 930674941577730459521320183457601600

Offset

0,2

Links

Martin Fuller, Table of n, a(n) for n = 0..85 (terms up to n=14 from R. H. Hardin)

Formula

a(n) = A103881(3n,n) * A006480(n). - Martin Fuller, Jun 08 2025

Crossrefs

Cf. A177316 - A177328. A103881.

Sequence in context: A153473 A193624 A292198 * A276014 A260779 A279656

Adjacent sequences: A177323 A177324 A177325 * A177327 A177328 A177329

Keyword

nonn

Author

R. H. Hardin, May 06 2010

Extensions

a(0)=1 prepended by Martin Fuller, Jun 08 2025

Status

approved