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Search: id:A009947
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| A009947 |
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Sequence of nonnegative integers, but insert n/2 after every even number n. |
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+0
14
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| 0, 0, 1, 2, 1, 3, 4, 2, 5, 6, 3, 7, 8, 4, 9, 10, 5, 11, 12, 6, 13, 14, 7, 15, 16, 8, 17, 18, 9, 19, 20, 10, 21, 22, 11, 23, 24, 12, 25, 26, 13, 27, 28, 14, 29, 30, 15, 31, 32, 16, 33, 34, 17, 35, 36, 18, 37, 38, 19, 39, 40
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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Coefficients in expansion of e/3 = Sum a(n)/n!, n=1..inf, using greedy algorithm.
Numerators of Peirce sequence of order 2.
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REFERENCES
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R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics, Addison-Wesley, Reading, MA, 2nd ed. 1998, p. 151.
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MAPLE
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A009947 := proc(a, n) local i, b, c; b := a; c := [ floor(b) ]; for i from 1 to n-1 do b := b-c[ i ]/i!; c := [ op(c), floor(b*(i+1)!) ]; od; c; end:
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CROSSREFS
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Cf. A071281.
Sequence in context: A112382 A117384 A125160 this_sequence A166711 A026249 A130527
Adjacent sequences: A009944 A009945 A009946 this_sequence A009948 A009949 A009950
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KEYWORD
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nonn,easy
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AUTHOR
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R. W. Gosper
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