A124958 Number of base 30 circular n-digit numbers with adjacent digits differing by 2 or less.

1, 30, 144, 540, 2372, 10480, 47502, 217898, 1010012, 4717872, 22176074, 104770058, 497093834, 2367032490, 11306090072, 54148325140, 259942544940, 1250461443632, 6026490869130, 29092178813042, 140648250533742

Offset

0,2

Comments

[Empirical] a(base,n)=a(base-1,n)+A005191(n+1) for base>=2.int(n/2)+1.

See A285280 for confirmation of linear recurrence and code to produce sequence. - Ray Chandler, Aug 12 2023.

Links

Ray Chandler, Table of n, a(n) for n = 0..99

Index entries for linear recurrences with constant coefficients, signature (30, -378, 2520, -8749, 8606, 45099, -155848, 38225, 588434, -724872, -1035936, 2242113, 860030, -3676846, -59744, 3730019, -548938, -2444170, 531256, 1034263, -243602, -273783, 60600, 42329, -7854, -3360, 448, 105, -6, -1).

Prog

(S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-1](($[i]`-$[(i+1)mod N]`>2)+($[(i+1)mod N]`-$[i]`>2))

Crossrefs

Cf. Row 30 of A285280.

Sequence in context: A218407 A347222 A229450 * A126417 A135175 A186895

Adjacent sequences: A124955 A124956 A124957 * A124959 A124960 A124961

Keyword

nonn,base

Author

R. H. Hardin, Dec 28 2006

Status

approved