

A258588


Minimal most likely sum for a roll of n 10sided dice.


1



1, 11, 16, 22, 27, 33, 38, 44, 49, 55, 60, 66, 71, 77, 82, 88, 93, 99, 104, 110, 115, 121, 126, 132, 137, 143, 148, 154, 159, 165, 170, 176, 181, 187, 192, 198, 203, 209, 214, 220, 225, 231, 236, 242, 247, 253, 258, 264, 269, 275
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..50.
Index entries for linear recurrences with constant coefficients, signature (1,1,1).


FORMULA

G.f.: x*(1 + 10*x + 4*x^2  4*x^3)/((1  x)^2*(1 + x)).
a(n) = floor(11*n/2) = (22*n + (1)^n  1)/4 with n>1, a(1)=1.
a(n) = a(n1) + a(n2)  a(n3) for n>4.


EXAMPLE

For n=1, there are ten equally likely outcomes, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and the smallest of these is 1, so a(1)=1.


MATHEMATICA

Join[{1}, Table[(22 n + (1)^n  1)/4, {n, 2, 50}]]


PROG

(PARI) a(n)=if(n<2, 1, 11*n\2);
vector(50, n, a(n))


CROSSREFS

Cf. A030123, A256680, A263941.
Sequence in context: A329389 A227080 A131858 * A110031 A166451 A109307
Adjacent sequences: A258585 A258586 A258587 * A258589 A258590 A258591


KEYWORD

nonn,easy


AUTHOR

Gianmarco Giordano, Nov 06 2015


STATUS

approved



