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A017983
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Powers of cube root of 3 rounded to nearest integer.
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22
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1, 1, 2, 3, 4, 6, 9, 13, 19, 27, 39, 56, 81, 117, 168, 243, 350, 505, 729, 1051, 1516, 2187, 3154, 4549, 6561, 9463, 13647, 19683, 28388, 40942, 59049, 85163, 122827, 177147, 255490, 368481, 531441, 766471, 1105442, 1594323, 2299412, 3316325, 4782969, 6898235
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OFFSET
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0,3
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LINKS
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MATHEMATICA
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PROG
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(Python)
from sympy import integer_nthroot
def A017983(n): return -integer_nthroot(m:=3**n, 3)[0]+integer_nthroot(m<<3, 3)[0] # Chai Wah Wu, Jun 18 2024
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CROSSREFS
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Cf. powers of cube root of k rounded up: A017980 (k=2), this sequence (k=3), A017986 (k=4), A017989 (k=5), A017992 (k=6), A017995 (k=7), A018001 (k=9), A018004 (k=10), A018007 (k=11), A018010 (k=12), A018013 (k=13), A018016 (k=14), A018019 (k=15), A018022 (k=16), A018025 (k=17), A018028 (k=18), A018031 (k=19), A018034 (k=20), A018037 (k=21), A018040 (k=22), A018043 (k=23), A018046 (k=24).
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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