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A018010
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Powers of cube root of 12 rounded to nearest integer.
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23
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1, 2, 5, 12, 27, 63, 144, 330, 755, 1728, 3956, 9057, 20736, 47474, 108687, 248832, 569683, 1304249, 2985984, 6836197, 15650984, 35831808, 82034362, 187811805, 429981696, 984412343, 2253741659, 5159780352, 11812948115, 27044899907, 61917364224
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OFFSET
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0,2
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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 A018010(n): return -integer_nthroot(m:=3**n<<(n<<1), 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), A017983 (k=3), A017986 (k=4), A017989 (k=5), A017992 (k=6), A017995 (k=7), A018001 (k=9), A018004 (k=10), A018007 (k=11), this sequence (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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