A077464 -id:A077464 - cp's OEIS frontend

A077465 Values of n such that A006046(n)/n^theta, where theta=log(3)/log(2), is a local minimum, computed according to Harborth's recurrence.

1, 3, 5, 11, 21, 43, 87, 173, 347, 693, 1387, 2775, 5549, 11099, 22197, 44395, 88789, 177579, 355159, 710317, 1420635, 2841269, 5682539, 11365079, 22730157, 45460315, 90920629, 181841259, 363682519, 727365037, 1454730075

Offset: 1

Eric W. Weisstein, Nov 05 2002

nonn

Harborth's recurrence can miss local minima that are 2 less than values in this sequence. A complete listing of cumulative minima is given by A084230.

H. Harborth, Number of Odd Binomial Coefficients, Proc. Amer. Math. Soc. 62, 19-22, 1977.
Eric Weisstein's World of Mathematics, Stolarsky-Harborth Constant

Cf. A006046, A077464, A077466, A077467, A084230.

A077467 Sum of binary digits of A077465(n).

Original entry on oeis.org

1, 2, 2, 3, 3, 4, 5, 5, 6, 6, 7, 8, 8, 9, 9, 10, 10, 11, 12, 12, 13, 13, 14, 15, 15, 16, 16, 17, 18, 18, 19, 19, 20, 20, 21, 22, 22, 23, 23, 24, 25, 25, 26, 26, 27, 27, 28, 29, 29, 30, 30, 31, 32, 32, 33, 33, 34, 34, 35, 36, 36, 37, 37, 38, 39, 39, 40, 40, 41, 41, 42, 43, 43, 44

Offset: 1

Eric W. Weisstein, Nov 05 2002

H. Harborth, Number of Odd Binomial Coefficients, Proc. Amer. Math. Soc. 62, 19-22, 1977.
Eric Weisstein's World of Mathematics, Stolarsky-Harborth Constant

Cf. A006046, A077464, A077465, A077466.

A077466 a(n) = A006046(A077465(n)).

Original entry on oeis.org

1, 5, 11, 37, 103, 317, 967, 2869, 8639, 25853, 77623, 232997, 698735, 2096461, 6288871, 18867125, 56600351, 169802077, 509408279, 1528220741, 4584666319, 13753990765, 41261980487, 123785957845, 371357840767, 1114073555069

Offset: 1

Eric W. Weisstein, Nov 05 2002

nonn

H. Harborth, Number of Odd Binomial Coefficients, Proc. Amer. Math. Soc. 62, 19-22, 1977.
Eric Weisstein's World of Mathematics, Stolarsky-Harborth Constant

Cf. A006046, A077464, A077465, A077467.

A247274 Decimal expansion of lambda_3, an analog of the Stolarsky-Harborth constant for the number of elements not divisible by 3 in Pascal's triangle.

Original entry on oeis.org

7, 7, 4, 2, 8, 1, 3, 2, 6, 3, 1, 5, 1, 2, 1, 4, 5, 3, 6, 3, 1, 6, 8, 6, 5, 4, 0, 8, 3, 3, 1, 5, 8, 4, 3, 6, 9, 9, 2, 7, 5, 1, 0, 2, 8, 2, 2, 1, 0, 0, 7, 9, 6, 1, 3, 1, 9, 5, 5, 0, 5, 3, 7, 3, 4, 7, 0, 6, 7, 2, 2, 0, 1, 0, 7, 4, 9, 2, 2, 6, 2, 8, 0, 9, 5, 1, 1, 9, 3, 6, 4, 3, 3, 3, 9, 4, 2, 5, 1, 1, 8

Offset: 0

Jean-François Alcover, Sep 11 2014

			0.774281326315121453631686540833158436992751028221...

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.16 Stolarsky-Harborth Constant, p. 145.

Cf. A020857, A077464.

lambda3 = (3/2)^(1 - Log[6]/Log[3]); RealDigits[lambda3, 10, 101] // First

lambda_3 = (3/2)^(1 - log(6)/log(3)).

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A077465 Values of n such that A006046(n)/n^theta, where theta=log(3)/log(2), is a local minimum, computed according to Harborth's recurrence.

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A077467 Sum of binary digits of A077465(n).

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A077466 a(n) = A006046(A077465(n)).

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A247274 Decimal expansion of lambda_3, an analog of the Stolarsky-Harborth constant for the number of elements not divisible by 3 in Pascal's triangle.

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