login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A048434
Smallest denominator of fraction using palindromes that approximates 'phi' to at least n digits after the decimal point.
2
3, 131, 131, 343, 48384, 578875, 2686862, 161656161, 344363443, 13666666631, 22113131122, 1596916196951, 3256487846523, 115345262543511, 414720808027414, 15801167176110851, 39249297679294293, 988331239932133889, 988331239932133889
OFFSET
1,1
EXAMPLE
n=10: 22113131122/13666666631 = 1.6180339887... which is correct to ten digits after the decimal point.
CROSSREFS
Numerators in A048433.
Cf. A001622 (phi).
Sequence in context: A003370 A156957 A202030 * A249379 A139943 A005175
KEYWORD
nonn,frac,base,more
AUTHOR
Patrick De Geest, Apr 15 1999
EXTENSIONS
a(1) corrected and a(14)-a(19) from Sean A. Irvine, Jun 17 2021
STATUS
approved