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Search: id:A083233
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| 1, 6, 48, 384, 3072, 24576, 196608, 1572864, 12582912, 100663296, 805306368, 6442450944, 51539607552, 412316860416, 3298534883328, 26388279066624, 211106232532992, 1688849860263936, 13510798882111488, 108086391056891904
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OFFSET
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0,2
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COMMENT
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Binomial transform of A083232. Inverse binomial transform of A066443
Numbers n such that, except some first term, n^2=[A000302]^3+[A004171]^3+[A002001]^3; example: 3072^2=64^3+128^3+192^3; 51539607552^2=4194304^3+8388608^3+12582912^3: [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jan 22 2009]
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FORMULA
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a(n)=(3*8^n+(0)^n)/4 G.f. (1-2x)/(1-8x) E.g.f. (3exp(8x)+exp(0))/4
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EXAMPLE
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a(0)=(3*8^0+0^0)/4=4/4=1 (use 0^0=1)
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CROSSREFS
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Cf. A083234.
Cf. A000302, A004171, A002001 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jan 22 2009]
Sequence in context: A052571 A052625 A155130 this_sequence A002918 A005399 A037184
Adjacent sequences: A083230 A083231 A083232 this_sequence A083234 A083235 A083236
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Apr 23 2003
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