The OEIS is supported by the many generous donors to the OEIS Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A219091 a(n) = floor((n + 1/2)^8). 2
 0, 25, 1525, 22518, 168151, 837339, 3186448, 10011291, 27249052, 66342043, 147745544, 305902286, 596046447, 1103240376, 1954087550, 3331605615, 5493783665, 8796388244, 13720622866, 20906286173, 31191114176, 45657032334 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS a(n) is the number k such that {k^p} < 1/2 < {(k+1)^p}, where p = 1/8 and { } = fractional part.  Equivalently, the jump sequence of f(x) = x^(1/8), in the sense that these are the nonnegative integers k for which round(k^p) < round((k+1)^p).  It appears that the sequence is linearly recurrent with order 23.  Compare its signature with row 9 of the triangle at A008949.  For which values of p is there a match of this sort between the jump sequence of x^p and row p+1 of the triangle? For details and a guide to related sequences, see A219085. LINKS Clark Kimberling, Table of n, a(n) for n = 0..10000 Index entries for linear recurrences with constant coefficients, signature (9, -37, 93, -163, 219, -247, 255, -256, 256, -256, 256, -256, 256, -256, 256, -255, 247, -219, 163, -93, 37, -9, 1). MATHEMATICA Table[Floor[(n + 1/2)^8], {n, 0, 100}] CROSSREFS Cf. A219085, A008949. Sequence in context: A192107 A206465 A138246 * A196299 A196217 A196684 Adjacent sequences:  A219088 A219089 A219090 * A219092 A219093 A219094 KEYWORD nonn,easy AUTHOR Clark Kimberling, Jan 01 2013 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified October 2 16:22 EDT 2022. Contains 357226 sequences. (Running on oeis4.)