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A329056
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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.
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0
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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
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = round(n^(log(n)/log(phi))).
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PROG
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(JavaScript)
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
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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