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A211247 Irregular triangle read by rows: numbers b_m(i) related to Bernoulli and Euler polynomials. 1
2, 5, 4, 4, 2, 7, 13, 4, 6, 9, 2, 9, 26, 25, 4, 8, 20, 16, 2, 11, 43, 70, 41, 4, 10, 35, 50, 25, 2, 13, 64, 147, 155, 61, 4, 12, 54, 112, 105, 36, 2, 15, 89, 264, 406, 301, 85, 4, 14, 77, 210, 294, 196, 49, 2, 17, 118, 429, 870, 966, 532, 113, 4, 16, 104, 352, 660, 672, 336, 64, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

See the Sun (2008) reference for the (complicated) precise definition.

It appears that every second row equals every second row of A034807. - Ralf Stephan, Oct 26 2013

LINKS

Table of n, a(n) for n=2..72.

Zhi-Wei Sun, On sums of binomial coefficients and their applications, arXiv:math/0404385 [math.NT], 2004-2008.

Zhi-Wei Sun, On sums of binomial coefficients and their applications, Discrete Math. 308 (2008), no. 18, 4231--4245. MR2427754(2010d:05002).

EXAMPLE

Triangle begins:

2

5 4

4 2

7 13 4

6 9 2

9 26 25 4

8 20 16 2

11 43 70 41 4

10 35 50 25 2

13 64 147 155 61 4

12 54 112 105 36 2

...

PROG

(PARI)

c(m, i) = binomial(m+1-i, i)*(m*m+m-2*i)/((m-i)*(m+1-i));

d(m, i) = binomial(m-i, i)*m/(m-i);

b(m, i) = if ( m%2==0, d(m, i), c(m, i) );

for (m=2, 16, for (i=1, ceil(m/2), print1( b(m, i), ", " ))) \\ Hugo Pfoertner, Nov 01 2017

CROSSREFS

Cf. A034807, A211246, A267633.

Sequence in context: A083798 A197377 A172483 * A021397 A325941 A104658

Adjacent sequences:  A211244 A211245 A211246 * A211248 A211249 A211250

KEYWORD

nonn,tabf

AUTHOR

N. J. A. Sloane, Apr 05 2012

EXTENSIONS

Corrected and extended by Hugo Pfoertner, Nov 01 2017

STATUS

approved

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Last modified January 17 18:08 EST 2020. Contains 330987 sequences. (Running on oeis4.)