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A272011 Irregular triangle read by rows: strictly decreasing sequences of nonnegative numbers given in lexicographic order. 4
0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 3, 3, 0, 3, 1, 3, 1, 0, 3, 2, 3, 2, 0, 3, 2, 1, 3, 2, 1, 0, 4, 4, 0, 4, 1, 4, 1, 0, 4, 2, 4, 2, 0, 4, 2, 1, 4, 2, 1, 0, 4, 3, 4, 3, 0, 4, 3, 1, 4, 3, 1, 0, 4, 3, 2, 4, 3, 2, 0, 4, 3, 2, 1, 4, 3, 2, 1, 0, 5, 5, 0, 5, 1, 5, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Length of n-th row given by A000120(n);

Maximum of n-th row given by A000523(n);

Minimum of n-th row given by A007814(n);

GCD of n-th row given by A064894(n);

Sum of n-th row given by A073642(n + 1).

n-th row begins at index A000788(n - 1) for n > 0.

The first appearance of n is at A001787(n).

a(A001787(n) + 1) = a(A001787(n)) for all n > 0.

a(A001787(n) + 2) = 0 for all n > 0.

a(A001787(n) + 3) = a(A001787(n)) for all n > 1.

a(A001787(n) + 4) = 1 for all n > 1.

a(A001787(n) + 5) = a(A001787(n)) for all n > 1.

Row n < 1024 lists the digits of A262557(n). - M. F. Hasler, Dec 11 2019

LINKS

Peter Kagey, Table of n, a(n) for n = 0..10000

EXAMPLE

Row n is given by the exponents in the binary expansion of n. For example, row 5 = [2, 0] because 5 = 2^2 + 2^0.

Row 0: []

Row 1: [0]

Row 2: [1]

Row 3: [1, 0]

Row 4: [2]

Row 5: [2, 0]

Row 6: [2, 1]

Row 7: [2, 1, 0]

PROG

(PARI) apply( A272011_row(n)=Vecrev(vecextract([0..exponent(n+!n)], n)), [0..39]) \\ For n < 2^10: row(n)=digits(A262557[n]). There are 2^k rows starting with k, they start at row 2^k. - M. F. Hasler, Dec 11 2019

CROSSREFS

Cf. A000120, A000523, A001787, A007814, A064894, A073642.

Cf. A133457 gives the rows in reverse order.

Cf. A272020, A262557.

Sequence in context: A319954 A050949 A074943 * A236374 A045719 A114906

Adjacent sequences:  A272008 A272009 A272010 * A272012 A272013 A272014

KEYWORD

nonn,tabf

AUTHOR

Peter Kagey, Apr 17 2016

STATUS

approved

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Last modified January 22 16:37 EST 2020. Contains 331152 sequences. (Running on oeis4.)