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A147656
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Terms of this sequence are "mid-points" between successive cubes
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0
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0, 4, 17, 45, 94, 170, 279, 427, 620, 864, 1165, 1529, 1962, 2470, 3059, 3735, 4504, 5372, 6345, 7429, 8630, 9954, 11407, 12995, 14724, 16600, 18629, 20817, 23170, 25694, 28395, 31279, 34352, 37620, 41089, 44765, 48654, 52762, 57095, 61659
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| The terms of this sequence relate to intervals between cubes in the same fashion as terms of A002378 are related to intervals between squares.
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FORMULA
| a(n)=A000578(n)+A045943(n) = n(2n^2+3n+3)/2. G.f.: x(4+x+x^2)/(1-x)^4. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 11 2008]
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MATHEMATICA
| Table[(n^3+(n+1)^3-1)/2, {n, 0, 70}] (* From Vladimir Joseph Stephan Orlovsky, May 04 2011 *)
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PROG
| (PARI) j=[]; for (n=0, 40, j=concat(j, n^3+floor(((n+1)^3 - n^3)/2))); j
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CROSSREFS
| Cf. A000578.
Sequence in context: A018973 A162148 A166781 * A095667 A119949 A173704
Adjacent sequences: A147653 A147654 A147655 * A147657 A147658 A147659
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KEYWORD
| nonn
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AUTHOR
| Alexander R. Povolotsky (pevnev(AT)juno.com), Nov 09 2008
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