

A194272


Array T(n,k) with 6 columns read by rows in which row n lists 3*n2, 3*n1, 3*n, 3*n, 3*n, 3*n.


1



1, 2, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 7, 8, 9, 9, 9, 9, 10, 11, 12, 12, 12, 12, 13, 14, 15, 15, 15, 15, 16, 17, 18, 18, 18, 18, 19, 20, 21, 21, 21, 21, 22, 23, 24, 24, 24, 24, 25, 26, 27, 27, 27, 27, 28, 29, 30, 30, 30, 30, 31, 32, 33, 33, 33, 33, 34, 35, 36, 36, 36, 36
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OFFSET

1,2


COMMENTS

Also first differences of A194273 which is also a sequence related to cellular automata.


LINKS

Table of n, a(n) for n=1..72.
Index entries for sequences related to cellular automata
Index to sequences with linear recurrences with constant coefficients, signature (2,1,1,2,1).


FORMULA

Euler transform of length 6 sequence [ 2, 0, 1, 0, 0, 1].  Michael Somos, May 12 2014
G.f.: x * (1  x^3) / ((1  x)^2 * (1  x^6)).  Michael Somos, May 12 2014
a(n1) = A047926(n)  A132868(n).  Michael Somos, May 12 2014


EXAMPLE

Array begins:
1, 2, 3, 3, 3, 3,
4, 5, 6, 6, 6, 6,
7, 8, 9, 9, 9, 9,
10, 11, 12, 12, 12, 12,
13, 14, 15, 15, 15, 15,
16, 17, 18, 18, 18, 18,
19, 20, 21, 21, 21, 21,
22, 23, 24, 24, 24, 24,
...
Sum of row n gives 18*n3 = A008600(n)  3.
G.f. = x + 2*x^2 + 3*x^3 + 3*x^4 + 3*x^5 + 3*x^6 + 4*x^7 + 5*x^8 + ...


CROSSREFS

Column 1: A016777. Column 2: A016789. Every column 3, 4, 5 and 6: positive integers of A008585.
Cf. A194273.
Sequence in context: A064952 A255070 A176001 * A025776 A120505 A029109
Adjacent sequences: A194269 A194270 A194271 * A194273 A194274 A194275


KEYWORD

nonn,easy,tabf


AUTHOR

Omar E. Pol, Aug 20 2011


STATUS

approved



