A028390 Nearest integer to 3n/4 unless that is an integer, when 3n/2.

0, 1, 2, 2, 6, 4, 5, 5, 12, 7, 8, 8, 18, 10, 11, 11, 24, 13, 14, 14, 30, 16, 17, 17, 36, 19, 20, 20, 42, 22, 23, 23, 48, 25, 26, 26, 54, 28, 29, 29, 60, 31, 32, 32, 66, 34, 35, 35, 72, 37, 38, 38, 78, 40, 41, 41, 84, 43, 44, 44, 90, 46, 47, 47, 96, 49, 50, 50, 102, 52, 53, 53

Offset

0,3

Links

Table of n, a(n) for n=0..71.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,2,0,0,0,-1).

Formula

G.f.: [x(1+2x+2x^2+6x^3+2x^4+x^5+x^6]/[(1-x)^2(1+x)^2(1+x^2)^2].

Maple

A028390 := proc(n) if 3*n mod 4 = 0 then 3*n/2 else round(3*n/4); fi; end;

Prog

(PARI) a(n)=if(Mod(3*n, 4) == 0, (3*n/2), round(3*n/4)); vector(100, n, a(n))

Crossrefs

Sequence in context: A059943 A264695 A112336 * A036500 A371824 A077080

Adjacent sequences: A028387 A028388 A028389 * A028391 A028392 A028393

Keyword

nonn,easy

Author

J. H. Conway

Extensions

More terms from Jason Earls, Jul 13 2001

Status

approved