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A293414 The integer k that minimizes |k/n^2 - e|. 3
0, 3, 11, 24, 43, 68, 98, 133, 174, 220, 272, 329, 391, 459, 533, 612, 696, 786, 881, 981, 1087, 1199, 1316, 1438, 1566, 1699, 1838, 1982, 2131, 2286, 2446, 2612, 2784, 2960, 3142, 3330, 3523, 3721, 3925, 4135, 4349, 4569, 4795, 5026, 5263, 5505, 5752, 6005 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Clark Kimberling, Table of n, a(n) for n = 0..1000

FORMULA

a(n) = floor(1/2 + (n^2)*e).

a(n) = A293412(n) if (fractional part of e*n^2) < 1/2, else a(n) = A293413(n).

MATHEMATICA

z = 120; r = E;

Table[Floor[r*n^2], {n, 0, z}];   (* A293412 *)

Table[Ceiling[r*n^2], {n, 0, z}]; (* A293413 *)

Table[Round[r*n^2], {n, 0, z}];   (* A293414 *)

CROSSREFS

Cf. A001113, A293412, A293413.

Sequence in context: A081737 A005475 A293404 * A212252 A295622 A294415

Adjacent sequences:  A293411 A293412 A293413 * A293415 A293416 A293417

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Oct 12 2017

STATUS

approved

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Last modified April 26 08:05 EDT 2019. Contains 322472 sequences. (Running on oeis4.)