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A056578
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1+2n+3n^2+4n^3.
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14
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1, 10, 49, 142, 313, 586, 985, 1534, 2257, 3178, 4321, 5710, 7369, 9322, 11593, 14206, 17185, 20554, 24337, 28558, 33241, 38410, 44089, 50302, 57073, 64426, 72385, 80974, 90217, 100138, 110761, 122110, 134209, 147082, 160753, 175246
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(n) =(A053699(n+1)-A053699(n-1))/2-4n-1
G.f.: (1+6*x+15*x^2+2*x^3)/(1-x)^4. [Colin Barker, Jan 10 2012]
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EXAMPLE
| For n>4 this is 4321 translated from base n to base 10
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MATHEMATICA
| f[n_]:=1+2*n+3*n^2+4*n^3; lst={}; Do[AppendTo[lst, f[n]], {n, 0, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Feb 12 2010]
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CROSSREFS
| Note: 1+2x+3x^2+4x^3 is derivative of 1+x+x^2+x^3+x^4, i.e. A053699. Cf. A000012, A005408, A056109, A056579.
Sequence in context: A045770 A154066 A035237 * A163716 A051947 A061861
Adjacent sequences: A056575 A056576 A056577 * A056579 A056580 A056581
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KEYWORD
| easy,nonn
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Jun 29 2000
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