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A002082
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2nd differences are periodic.
(Formerly M0335 N0127)
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1
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2, 2, 4, 10, 16, 28, 48, 76, 110, 144, 182, 222, 264, 310, 356, 408, 468, 536, 610, 684, 762, 842, 924, 1010, 1096, 1188, 1288, 1396, 1510, 1624, 1742, 1862, 1984, 2110, 2236, 2368
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| "On the Determination of the General Term of a New Class of Infinite Series", by Charles Babbage, Trans. Camb. Phil. Soc., 2 (1827), 217-225 (see p. 220).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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FORMULA
| G.f.: (-4x^10+2x^9-2x^8-4x^7-4x^6-4x^5-2x^4+2x^3-6x^2+4x-2)/((x^4-x^3+x^2-x+1)*(x^4+x^3+x^2+x+1)*(x-1)^3). - Ralf Stephan (ralf(AT)ark.in-berlin.de), Mar 11 2003
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CROSSREFS
| Cf. A002081.
Sequence in context: A056919 A052175 A102623 * A005304 A152732 A100088
Adjacent sequences: A002079 A002080 A002081 * A002083 A002084 A002085
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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