A346458 Numbers with hexadecimal representation A, AB, ABC, ..., ABCDEFA, ABCDEFAB, ...
10, 171, 2748, 43981, 703710, 11259375, 180150010, 2882400171, 46118402748, 737894443981, 11806311103710, 188900977659375, 3022415642550010, 48358650280800171, 773738404492802748, 12379814471884843981, 198077031550157503710, 3169232504802520059375
Offset: 1
Links
- Index entries for linear recurrences with constant coefficients, signature (16,0,0,0,0,1,-16).
Crossrefs
Cf. A325911.
Programs
-
Haskell
a 1 = 10 a n = a (n - 1) * 16 + 10 + (n - 1) `mod` 6
Formula
a(n) = 16*a(n-1) + 10 + ((n - 1) mod 6) with a(1) = 10.
From Stefano Spezia, Jul 19 2021: (Start)
G.f.: x*(10 + 11*x + 12*x^2 + 13*x^3 + 14*x^4 + 15*x^5)/(1 - 16*x - x^6 + 16*x^7).
a(n) = 16*a(n-1) + a(n-6) - 16*a(n-7) for n > 7. (End)