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A329056 a(n) is the integer nearest to the result of raising n to the power of the fraction that is the natural logarithm of n over the natural logarithm of the golden ratio. 0
1, 3, 12, 54, 218, 790, 2614, 7989, 22756, 60950, 154631, 373880, 866019, 1930121, 4154593, 8664718, 17557769, 34651632, 66747915, 125725045, 231949573, 419750808, 746081780, 1304039046, 2243705012, 3803904385, 6360060015, 10495565911, 17107197521 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..29.

FORMULA

a(n) = round(n^(log(n)/log(phi))).

PROG

(JS)

var listy = [];

for (var i = 1; i < 30; i++) {

var u = Math.round(Math.pow(i, Math.log(i)/Math.log(((Math.sqrt(5)+1)/2))));

appendItem(listy, u);

}

console.log(listy);

(PARI) vector(30, n, round(n^(log(n)/log((sqrt(5) + 1)/2)))) \\ Andrew Howroyd, Nov 02 2019

CROSSREFS

Cf. A001622.

Sequence in context: A293131 A120983 A124810 * A191577 A282901 A123348

Adjacent sequences:  A329053 A329054 A329055 * A329057 A329058 A329059

KEYWORD

nonn

AUTHOR

Sebastian F. Orellana, Nov 02 2019

STATUS

approved

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Last modified July 13 17:54 EDT 2020. Contains 335689 sequences. (Running on oeis4.)