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A248786 a(n) =  29*n + floor(n/29) + 0^n - 0^(n mod 29). 2
0, 29, 58, 87, 116, 145, 174, 203, 232, 261, 290, 319, 348, 377, 406, 435, 464, 493, 522, 551, 580, 609, 638, 667, 696, 725, 754, 783, 812, 841, 871, 900, 929, 958, 987, 1016, 1045, 1074, 1103, 1132, 1161, 1190, 1219, 1248 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

This is an approximation to A004922 (floor of n*phi^7, where phi is the golden ratio, A001622).

The "+ 0^n - 0^(n mod 29)" corrects a(n), for n=0 and multiples of 29. (See examples below.)

LINKS

Karl V. Keller, Jr., Table of n, a(n) for n = 0..1000

Ron Knott, Fibonacci numbers

Eric Weisstein's World of Mathematics, Golden Ratio

Wikipedia, the free encyclopedia,Golden ratio

EXAMPLE

For n = 0,  29*n + floor(0.0)  + 0^0  - 0^(0) =   0  + 0  + 1  - 1 = 0 (n=29*0).

For n = 28, 29*n + floor(0.97) + 0^28 - 0^(28)= 812  + 0  + 0  - 0 = 812.

For n = 29, 29*n + floor(1.0)  + 0^29 - 0^(0) = 841  + 1  + 0  - 1 = 841 (n=29*1).

For n = 31, 29*n + floor(1.1)  + 0^31 - 0^(2) = 899  + 1  + 0  - 0 = 900.

For n = 87, 29*n + floor(3.0)  + 0^87 - 0^(0) = 2523 + 3  + 0  - 1 = 2525 (n=29*3).

PROG

(Python)

from math import *

from decimal import *

getcontext().prec = 100

for n in range(0, 101):

..print n, (29*n+floor(n/29.0))+ 0**n-0**(n%29)

(MAGMA) [(29*n+Floor(n/29))+ 0^n-0^(n mod 29): n in [0..60]]; // Vincenzo Librandi, Oct 14 2014

(PARI) a(n) = 29*n+ n\29 + 0^n - 0^(n % 29); \\ Michel Marcus, Oct 14 2014

CROSSREFS

Cf. A001622 (phi), A195819 (29*n).

Cf. A004922 (floor(n*phi^7)), A004962 (ceiling(n*phi^7)), A004942 (round(n*phi^7)).

Sequence in context: A164011 A048846 A195819 * A004922 A249079 A004942

Adjacent sequences:  A248783 A248784 A248785 * A248787 A248788 A248789

KEYWORD

nonn,easy

AUTHOR

Karl V. Keller, Jr., Oct 14 2014

STATUS

approved

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Last modified July 24 04:08 EDT 2019. Contains 325290 sequences. (Running on oeis4.)