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A018046
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Powers of cube root of 24 rounded to nearest integer.
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22
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1, 3, 8, 24, 69, 200, 576, 1661, 4793, 13824, 39875, 115020, 331776, 957008, 2760488, 7962624, 22968182, 66251701, 191102976, 551236370, 1590040836, 4586471424, 13229672881, 38160980056, 110075314176, 317512149144, 915863521339, 2641807540224, 7620291579446
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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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Floor[(Power[24, (3)^-1])^Range[0, 30]+1/2] (* Harvey P. Dale, Nov 13 2011 *)
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PROG
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(Python)
from sympy import integer_nthroot
def A018046(n): return -integer_nthroot(m:=3**n<<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), A017983 (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), this sequence (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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