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A261473 Number of binary strings of length n+6 such that the smallest number whose binary representation is not visible in the string is 8. 2
0, 2, 10, 40, 116, 296, 699, 1557, 3325, 6893, 13964, 27789, 54536, 105854, 203645, 388970, 738596, 1395718, 2626914, 4927664, 9217604, 17201570, 32036763, 59564873, 110586325, 205056292, 379823379, 702897160, 1299744979, 2401747773, 4435467036, 8187063102 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (4,-2,-5,-6,10,21,0,-29,-33,11,44,30,-16,-36,-17,9,16,6,-2,-3,-1).
FORMULA
G.f.: (x^16 +5*x^15 +11*x^14 +10*x^13 -9*x^12 -40*x^11 -52*x^10 -19*x^9 +36*x^8 +61*x^7 +31*x^6 -13*x^5 -26*x^4 -14*x^3 +4*x^2 +2*x+2) *x / ((x+1) *(x^2+x+1) *(x^3+x^2-1) *(x^2+x-1) *(x^3+x^2+x-1) *(x^4+x^3-1) *(x^3+x-1) *(x-1)^3).
a(n) = A261019(n+6,8).
CROSSREFS
Column k=8 of A261019.
Sequence in context: A339090 A244376 A009338 * A174395 A320526 A193519
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Aug 20 2015
STATUS
approved

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)