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 A002160 Nearest integer to Pi^n. (Formerly M2841 N1142) 7
 1, 3, 10, 31, 97, 306, 961, 3020, 9489, 29809, 93648, 294204, 924269, 2903677, 9122171, 28658146, 90032221, 282844564, 888582403, 2791563950, 8769956796, 27551631843, 86556004192, 271923706894, 854273519914, 2683779414318, 8431341691876, 26487841119104, 83214007069230 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES A. Fletcher, J. C. P. Miller, L. Rosenhead and L. J. Comrie, An Index of Mathematical Tables. Vols. 1 and 2, 2nd ed., Blackwell, Oxford and Addison-Wesley, Reading, MA, 1962, Vol. 1, p. 122. J. T. Peters, Ten-Place Logarithm Table. Vols. 1 and 2, rev. ed. Ungar, NY, 1957, Vol. 1 (Appendix), p. 1. 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). LINKS EXAMPLE a(0) = 1 because Pi^0 = 1; a(2) = 10 because Pi^2 = 9.8696...; a(10) = 93648 because Pi^10 = 93648.047476... MAPLE a := []: Digits := 1000: for n from 0 to 50 do: a := [op(a), round(Pi^n)]: od: seq(a[i+1], i=0..50); PROG (PARI) apply( A002160(n)=Pi^n\/1, [0..50]) \\ An error message will say so if default(realprecision) must be increased. - M. F. Hasler, May 27 2018 CROSSREFS Cf. A000227 (e^n), A001672 (floor(Pi^n)), A001673 (ceiling(Pi^n)). Sequence in context: A097472 A068094 A100058 * A214839 A114487 A017934 Adjacent sequences:  A002157 A002158 A002159 * A002161 A002162 A002163 KEYWORD nonn,easy AUTHOR EXTENSIONS More terms from Mark Hudson (mrmarkhudson(AT)hotmail.com), Jan 29 2003 Edited by M. F. Hasler, May 27 2018 STATUS approved

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Last modified May 26 09:37 EDT 2020. Contains 334620 sequences. (Running on oeis4.)