

A115218


Triangle read by rows: zeroth row is 0; to get row n >= 1, append next 2^n numbers to end of previous row.


1



0, 0, 1, 2, 0, 1, 2, 3, 4, 5, 6, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22
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OFFSET

0,4


LINKS

Robert Israel, Table of n, a(n) for n = 0..10000


FORMULA

From Robert Israel, Jan 02 2018: (Start)
G.f.: x^2/(1x)^2  (1x)^(1)*Sum_{n>=2} (2^n1)*x^(2^(n+1)n2).
a(n) = k if n = 2^m  m + k  1, 0 <= k <= 2^m2.
G.f. as triangle: (1y)^(2)*Sum_{n>=1} x^n*(y + (12^n)*y^(2^n1)+(2^n2)*y^(2^n)). (End)


EXAMPLE

Triangle begins:
0
0 1 2
0 1 2 3 4 5 6
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
...


MAPLE

seq($0..2^n2, n=0..5); # Robert Israel, Jan 02 2018


MATHEMATICA

Range[0, #1]&/@Accumulate[2^Range[0, 5]]//Flatten (* Harvey P. Dale, Jan 20 2021 *)


CROSSREFS

Cf. A126646 (length of nth row).
Sequence in context: A135317 A332663 A227179 * A023858 A011118 A304784
Adjacent sequences: A115215 A115216 A115217 * A115219 A115220 A115221


KEYWORD

nonn,tabf


AUTHOR

N. J. A. Sloane, based on a suggestion from Harrie Grondijs, Mar 04 2006


STATUS

approved



